# Interfaces and Free Boundaries - Author Index

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- Abels, Helmut
On sharp interface limits for diffuse interface models for two-phase flows

On generalized solutions of two-phase flows for viscous incompressible fluids

- Achdou, Yves
A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions

- Acker, Andrew
The multi-layer free boundary problem for the p-Laplacian in convex domains

- Adalsteinsson, David
A coupled level set-boundary integral method for moving boundary simulations

- Aguillon, Nina
Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme

- Aiki, Toyohiko
- Akers, Benjamin
Traveling waves from the arclength parameterization: Vortex sheets with surface tension

- Alama, Stan
Sharp interface limit of an energy modelling nanoparticle-polymer blends

- Alfaro, Matthieu
Convergence of a mass conserving Allen–Cahn equation whose Lagrange multiplier is nonlocal and local

- Alibaud, Nathaël
On the propagation of a periodic flame front by an Arrhenius kinetic

- Alibert, Jean Jacques
A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

- Alicandro, Roberto
Phase transitions in presence of surfactants: From discrete to continuum

- Alifrangis, Pierre
Convergence of a mass conserving Allen–Cahn equation whose Lagrange multiplier is nonlocal and local

- Alikakos, Nicholas D.
- Allen, Mark
- Alphonse, Amal
- Alt, Hans Wilhelm
Distributional equation in the limit of phase transition for fluids

Phase boundary dynamics: transitions between ordered and disordered lipid monolayers

A free boundary problem involving a cusp: breakthrough of salt water

- Alt, Wolfgang
Phase boundary dynamics: transitions between ordered and disordered lipid monolayers

- Alter, François
- Alvarez, O.
Existence and uniqueness for dislocation dynamics with nonnegative velocity

- Ambrose, David M.
Traveling waves from the arclength parameterization: Vortex sheets with surface tension

Transport of interfaces with surface tension by 2D viscous ﬂows

- Ambrosio, Luigi
A direct variational approach to a problem arising in image reconstruction

On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model

- Amstutz, Samuel
Topology optimization methods with gradient-free perimeter approximation

- Andersson, John E.
- Andersson, John
Optimal regularity for the parabolic no-sign obstacle type problem

- Andreu, Fuensanta
A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions

- Andreucci, Daniele
- Andrews, June
- Anger, Gottfried
On the two-phase Navier–Stokes equations with surface tension

- Antil, Harbir
Finite horizon model predictive control of electrowetting on dielectric with pinning

- Antonopoulou, Dimitra C.
- Antontsev, Stanislav
A free-boundary problem for Stokes equations: classical solutions

- Apushkinskaya, Darya E.
On regularity properties of solutions to the hysteresis-type problem

- Argiolas, Roberto
- Asai, Tomoro
- Azevedo, Assis
- Babadjian, Jean-François
Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination

- Baesu, Eveline
- Baldi, Pietro
Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves

- Balzani, Nadine
A nested variational time discretization for parametric Willmore flow

- Bänsch, Eberhard
Simulation of dendritic crystal growth with thermal convection

- Barenblatt, Grigori I.
- Barles, Guy
- Barrett, John W.
Lakes and rivers in the landscape: A quasi-variational inequality approach

Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies

Partial

*L*^{1}Monge–Kantorovich problem: variational formulation and numerical approximationA phase field model for the electromigration of intergranular voids

- Bartels, S.
Convergence for stabilisation of degenerately convex minimisation problems

- Bartels, Sören
Finite element methods for director fields on flexible surfaces

Stable discretization of scalar and constrained vectorial Perona–Malik equation

- Bates, Peter W.
- Belak, Jim
- Belik, Pavel
A total-variation surface energy model for thin films of martensitic crystals

- Bellettini, Giovanni
Crystalline curvature flow of planar networks

First variation of anisotropic energies and crystalline mean curvature of partitions

Characterization of facet breaking for nonsmooth mean curvature flow in the convex case

Facet-breaking for three-dimensional crystals evolving by mean curvature

- Beneš, Michal
Second order numerical scheme for motion of polygonal curves with constant area speed

Mathematical analysis of phase-field equations with numerically efficient coupling terms

- Benth, F. E.
- Benzoni-Gavage, Sylvie
Structure of Korteweg models and stability of diffuse interfaces

- Berestycki, Henry
Metastable behavior of premixed gas flames in rectangular channels

- Bernard, Yann
- Berselli, Luigi C.
Local solvability and turning for the inhomogeneous Muskat problem

- Bertozzi, Andrea L.
Wavelet analogue of the Ginzburg–Landau energy and its Γ-convergence

- Bertsch, Michiel
A free boundary problem arising in a simpliﬁed tumour growth model of contact inhibition

Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering

A system of degenerate parabolic nonlinear PDE's: a new free boundary problem

- Bhattacharya, Kaushik
Effective behavior of an interface propagating through a periodic elastic medium

Effective motion of a curvature-sensitive interface through a heterogeneous medium

- Bianchini, Chiara
An overdetermined problem with non-constant boundary condition

- Biton, Samuel
Nonfattening condition for the generalized evolution by mean curvature and applications

- Blesgen, Thomas
A generalized Cahn–Hilliard equation incorporating geometrically linear elasticity

- Blömker, Dirk
- Bolikowski, Łukasz
- Bonito, Andrea
Mixed ﬁnite element method for electrowetting on dielectric with contact line pinning

- Bonnet, Alexis
- Bonnetier, Eric
Consistency result for a non monotone scheme for anisotropic mean curvature flow

- Borsche, Raul
On the interactions between a solid body and a compressible inviscid fluid

- Bouchitté, Guy
A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

- Boulakia, Muriel
- Bourdin, Blaise
Numerical implementation of the variational formulation for quasi-static brittle fracture

- Boutin, Benjamin
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I

- Braides, Andrea
Motion of discrete interfaces in periodic media

Curvature theory of boundary phases: the two-dimensional case

- Brancolini, Alessio
- Brändle, Cristina
Asymptotic behaviour of the porous media equation in domains with holes

- Brasco, Lorenzo
- Braun, Richard J.
A1-L1_0 phase boundaries and anisotropy via multiple-order-parameter theory for an fcc alloy

- Brauner, Claude-Michel
Rigorous derivation of the Kuramoto–Sivashinsky equation from a 2D weakly nonlinear Stefan problem

Stability and attractors for the quasi-steady equation of cellular flames

Weakly nonlinear asymptotics of the kappa-theta model of cellular flames: the Q-S equation

- Bretin, Elie
A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics

Consistency result for a non monotone scheme for anisotropic mean curvature flow

- Brett, Charles
- Bright, Ido
The integral of the normal and fluxes over sets of finite perimeter

- Bronsard, Lia
Sharp interface limit of an energy modelling nanoparticle-polymer blends

- Bucur, Dorin
- Bugeanu, Monica
A second order convergent trial method for a free boundary problem in three dimensions

- Burger, Martin
A framework for the construction of level set methods for shape optimization and reconstruction

- Burman, Erik
Anisotropic, adaptative finite elements for the computation of a solutal dendrite

- Buttazzo, Giuseppe
- Cabral Balreira, Eduardo
- Cacace, Simone
A multi-phase transition model for dislocations with interfacial microstructure

- Caffarelli, Luis A.
- Cahn, John W.
Shape accommodation of a rotating embedded crystal via a new variational formulation

A1-L1_0 phase boundaries and anisotropy via multiple-order-parameter theory for an fcc alloy

A free-boundary model for diffusion-induced grain boundary motion

- Calle, Maria
Interfaces determined by capillarity and gravity in a two-dimensional porous medium

- Camilli, Fabio
- Cancès, Clément
Two-phase ﬂows involving capillary barriers in heterogeneous porous media

- Čanić, Sunčica
- Capuzzo Dolcetta, Italo
Area-preserving curve-shortening flows: from phase separation to image processing

- Caraballo, David G.
- Cardaliaguet, Pierre
On the energy of a flow arising in shape optimization

Nonfattening condition for the generalized evolution by mean curvature and applications

Existence and uniqueness for dislocation dynamics with nonnegative velocity

- Carlini, Elisabetta
Convergence of a large time-step scheme for mean curvature motion

- Carstensen, Carsten
Convergence for stabilisation of degenerately convex minimisation problems

- Caselles, Vicent
- Cermelli, Paolo
- Cesaroni, Annalisa
- Challal, S.
- Challal, Samia
On the regularity of the free boundary for quasilinear obstacle problems

- Chalons, Christophe
A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem

Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I

Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling

Computing undercompressive waves with the random choice scheme. Nonclassical shock waves

- Chambolle, Antonin
Some results on anisotropic fractional mean curvature flows

Consistency result for a non monotone scheme for anisotropic mean curvature flow

Implicit time discretization of the mean curvature flow with a discontinuous forcing term

- Charpiat, Guillaume
Piecewise rigid curve deformation via a Finsler steepest descent

- Chelminski, Krzysztof
- Chemetov, Nikolai
- Chen, Alex
- Chen, Gui-Qiang G.
Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations

- Chen, Jun
Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations

- Chen, Xinfu
Regularity of free boundary arising from optimal exercise of perpetual executive stock options

Mass conserving Allen–Cahn equation and volume preserving mean curvature flow

Viscosity solutions of discontinuous Hamilton–Jacobi equations

- Chenchiah, Isaac Vikram
A generalized Cahn–Hilliard equation incorporating geometrically linear elasticity

- Cheng, C.H. Arthur
Global existence and decay for solutions of the Hele–Shaw flow with injection

- Chermisi, M.
- Cheviakov, Alexei F.
A two-dimensional metastable flame-front and a degenerate spike-layer problem

- Chipot, Michel
On the continuity of the free boundary in some class of two-dimensional problems

- Chiricotto, Maria
Weak solutions to thin-film equations with contact-line friction

- Choksi, Rustum
Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems

- Chopp, David
Simulation of multigrain thin film growth

Level set methods to compute minimal surfaces in a medium with exclusions (voids)

A projection method for motion of triple junctions by level sets

- Cicalese, Marco
Sharp stability inequalities for planar double bubbles

Phase transitions in presence of surfactants: From discrete to continuum

- Clarenz, Ulrich
The Wulff shape minimizes an anisotropic Willmore functional

- Colli, Pierluigi
A phase-field approximation of the Willmore flow with volume constraint

- Colli Franzone, Piero
On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model

- Colombo, Rinaldo M.
On the interactions between a solid body and a compressible inviscid fluid

- Conti, Monica
Coexistence and segregation for strongly competing species in special domains

Uniqueness and least energy property for solutions to strongly competing systems

- Córdoba, Diego
Local solvability and turning for the inhomogeneous Muskat problem

- Coulombel, Jean-François
- Coutand, Daniel
Global existence and decay for solutions of the Hele–Shaw flow with injection

- Craciun, Bogdan
Effective motion of a curvature-sensitive interface through a heterogeneous medium

- Cuesta, Carlota Maria
Interfaces determined by capillarity and gravity in a two-dimensional porous medium

- Cui, Shangbin
Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors

- Da Lio, Francesca
- da Silva, João Vítor
Regularity up to the boundary for singularly perturbed fully nonlinear elliptic equations

- Dai, Shibin
An upper bound on the coarsening rate for mushy zones in a phase-field model

- Dal Passo, Roberta
A free boundary problem arising in a simpliﬁed tumour growth model of contact inhibition

A system of degenerate parabolic nonlinear PDE's: a new free boundary problem

Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility

- Darbon, Jérôme
- Davis, Christopher B.
A mixed formulation of the Stefan problem with surface tension

- Davis, Stephen H.
Anomalous diffusion models in the presence of a moving interface

- De los Reyes, Juan Carlos
A nonsmooth model for discontinuous shear thickening fluids: Analysis and numerical solution

A duality based semismooth Newton framework for solving variational inequalities of the second kind

- de Queiroz, Olivaine S.
- De Silva, Daniela
- De Zan, Cecilia
Cauchy problems for noncoercive Hamilton–Jacobi–Isaacs equations with discontinuous coefficients

- Deckelnick, Klaus
Minimising a relaxed Willmore functional for graphs subject to boundary conditions

Error analysis for the approximation of axisymmetric Willmore flow by

*C*^{1}-finite elementsError analysis of a finite element method for the Willmore flow of graphs

Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities

Numerical diffusion-induced grain boundary motion

Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow

- Delle Monache, Maria Laura
A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem

- Denisova, Irina V.
Evolution of compressible and incompressible fluids separated by a closed interface

- Descombes, S.
Structure of Korteweg models and stability of diffuse interfaces

- Díaz, Jesús Ildefonso
- Dirr, N.
$\Gamma$--convergence of the Allen-Cahn energy with an oscillating forcing term

Pinning and de-pinning phenomena in front propagation in heterogeneous media

- Dirr, Nicolas
- Djie, Kianhwa C.
An upper bound for the waiting time for doubly nonlinear parabolic equations

- Djurdjevac, Ana
Advection-diffusion equations with random coefficients on evolving hypersurfaces

- Dobrosotskaya, Julia A.
Wavelet analogue of the Ginzburg–Landau energy and its Γ-convergence

- Dolbeault, Jean
- Dolzmann, Georg
Finite element methods for director fields on flexible surfaces

- Dondl, Patrick W.
Effective behavior of an interface propagating through a periodic elastic medium

- Dreyer, Wolfgang
Asymptotic analysis for Korteweg models

Sharp-interface model for eutectic alloys. Part I: Concentration dependent surface tension

- Droske, M.
- Durus, Ioana
- Dziuk, Gerhard
Scalar conservation laws on moving hypersurfaces

Eulerian finite element method for parabolic PDEs on implicit surfaces

Error analysis of a finite element method for the Willmore flow of graphs

- Eck, Christof
- Ei, S. I.
Segregating partition problem in competition-diffusion systems

- Elliott, Charles M.
A computational approach to an optimal partition problem on surfaces

On some linear parabolic PDEs on moving hypersurfaces

Eulerian finite element method for parabolic PDEs on implicit surfaces

Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities

Numerical diffusion-induced grain boundary motion

A free-boundary model for diffusion-induced grain boundary motion

Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices

- Elschner, Johannes
Optimal regularity for elliptic transmission problems including

*C*interfaces^{1} - Escher, Joachim
Two-phase flow in rotating Hele-Shaw cells with Coriolis effects

A moving boundary problem for periodic Stokesian Hele–Shaw flows

Classical solutions to a moving boundary problem for an elliptic-parabolic system

- Esedoglu, Selim
- Falcone, Maurizio
A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions

Convergence of a large time-step scheme for mean curvature motion

- Fasano, Antonio
The 3D flow of a liquid through a porous medium with absorbing and swelling granules

- Feldman, Mikhail
Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations

- Felli, Veronica
Coexistence and segregation for strongly competing species in special domains

- Feng, Xiaobing
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem

- Fernández Bonder, Julián
- Ferrari, Fausto
- Ferretti, R.
Convergence of a large time-step scheme for mean curvature motion

- Fife, Paul C.
A free-boundary model for diffusion-induced grain boundary motion

- Fila, Marek
- Finzi Vita, Stefano
Area-preserving curve-shortening flows: from phase separation to image processing

- Fischer, Julian
- Focardi, Matteo
Asymptotic analysis of Mumford–Shah type energies in periodically perforated domains

- Fontelos, M.
On a phase-ﬁeld model for electrowetting

A free boundary problem in glaciology: The motion of grounding lines

- Forcadel, Nicolas
Uniqueness and existence of spirals moving by forced mean curvature motion

- Fragalà, Ilaria
A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

- Francfort, Gilles A.
- Frankel, Michael L.
Stability and attractors for the quasi-steady equation of cellular flames

Weakly nonlinear asymptotics of the kappa-theta model of cellular flames: the Q-S equation

- Freddi, Lorenzo
The energy density of martensitic thin films via dimension reduction

- Friedman, Avner
A Hyperbolic Free Boundary Problem Modeling Tumor Growth

A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions

- Funaki, Mitsuo
Travelling front solutions arising in the chemotaxis-growth model

- Fusco, Giorgio
- Fusco, Nicola
On the regularity of critical and minimal sets of a free interface problem

- Fusi, Lorenzo
- Galaktionov, Victor A.
Behaviour of interfaces in a diffusion-absorption equation with critical exponents

- Galiano Casas, Gonzalo
A diffusion-convection problem with drainage arising in the ecology of mangroves

- Gallouët, Thierry
Two-phase ﬂows involving capillary barriers in heterogeneous porous media

- Garavello, Mauro
On the interactions between a solid body and a compressible inviscid fluid

- Garcke, Harald
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach

Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies

A phase field model for the electromigration of intergranular voids

Second order phase field asymptotics for multi-component systems

Bi-directional diffusion induced grain boundary motion with triple junctions

The Cahn-Hilliard equation with elasticity-finite element approximation and qualitative studies

- Garroni, Adriana
A multi-phase transition model for dislocations with interfacial microstructure

- Garzon, M.
A coupled level set-boundary integral method for moving boundary simulations

- Geldhauser, Carina
A semidiscrete scheme for a one-dimensional Cahn–Hilliard equation

- Gelli, Maria Stella
Asymptotic analysis of Mumford–Shah type energies in periodically perforated domains

- Ghisi, Marina
On the evolution of subcritical regions for the Perona–Malik equation

- Giacomelli, Lorenzo
Weak solutions to thin-film equations with contact-line friction

Lower bounds on waiting times for degenerate parabolic equations and systems

Rigorous lubrication approximation

Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility

- Giacomini, Alessandro
- Giesselmann, Jan
- Giga, Mi-Ho
On the role of kinetic and interfacial anisotropy in the crystal growth theory

- Giga, Yoshikazu
On the role of kinetic and interfacial anisotropy in the crystal growth theory

On a uniform approximation of motion by anisotropic curvature by the Allen–Cahn equations

Existence of self-similar evolution of crystals grown from supersaturated vapor

- Gilding, Brian H.
- Glasner, Karl
- Goatin, Paola
A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem

Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling

- Gobbino, Massimo
On the evolution of subcritical regions for the Perona–Malik equation

- Gokieli, Maria
- Goldman, Dorian
On the regularity of stationary points of a nonlocal isoperimetric problem

- Gomes, Diogo A.
- Goncerzewicz, Jan
- Gordon, Peter V.
- Gorka, Przemyslaw
- Granero-Belinchón, Rafael
Local solvability and turning for the inhomogeneous Muskat problem

- Grasmair, Markus
- Grasselli, Maurizio
- Gray, L.
A coupled level set-boundary integral method for moving boundary simulations

- Greco, Antonio
- Gross, Laura Kathryn
- Gruber, Christopher A.
Anomalous diffusion models in the presence of a moving interface

- Grün, Günther
On a phase-ﬁeld model for electrowetting

Lower bounds on waiting times for degenerate parabolic equations and systems

- Grunau, Hans-Christoph
Minimising a relaxed Willmore functional for graphs subject to boundary conditions

- Grzhibovskis, Richards
- Guidotti, Patrick
Two-phase flow in rotating Hele-Shaw cells with Coriolis effects

Nonlinear stability analysis of a two-dimensional diffusive free boundary problem

- Gurtin, Morton E.
- Haehnle, Jonas
Numerical approximations of the Mumford–Shah functional for unit vector fields

- Hamamuki, Nao
A rigorous setting for the reinitialization of first order level set equations

- Hamel, François
Existence and uniqueness for a free boundary problem arising in combustion theory

- Harbrecht, Helmut
A second order convergent trial method for a free boundary problem in three dimensions

- Hardering, Hanne
Numerical approximation of capillary surfaces in a negative gravitational field

- Haslinger, J.
- Hausser, Frank
- Hayouni, Mohammed
On the Bernoulli free boundary problem and related shape optimization problems

- Hecht, Claudia
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach

- Heintz, Alexei
- Henao, Duvan
Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination

- Henrot, Antoine
An overdetermined problem with non-constant boundary condition

The multi-layer free boundary problem for the p-Laplacian in convex domains

On the Bernoulli free boundary problem and related shape optimization problems

- Hermsdörfer, Katharina
Interface conditions for limits of the Navier–Stokes–Korteweg model

- Hilhorst, Danielle
Mass conserving Allen–Cahn equation and volume preserving mean curvature flow

- Hintermüller, Michael
Finite horizon model predictive control of electrowetting on dielectric with pinning

A duality based semismooth Newton framework for solving variational inequalities of the second kind

- Hinze, Michael
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach

- Hömberg, Dietmar
Quasistationary problem for a cracked body with electrothermoconductivity

- Hu, Bei
Viscosity solutions of discontinuous Hamilton–Jacobi equations

A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions

- Hulshof, Josephus
Rigorous derivation of the Kuramoto–Sivashinsky equation from a 2D weakly nonlinear Stefan problem

Stability and attractors for the quasi-steady equation of cellular flames

Weakly nonlinear asymptotics of the kappa-theta model of cellular flames: the Q-S equation

- Hynd, Ryan
On Hamilton–Jacobi–Bellman equations with convex gradient constraints

- Iagar, Razvan Gabriel
- Igbida, N.
A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions

- Iglesias, Marco A.
- Ikota, R.
Segregating partition problem in competition-diffusion systems

- Imbert, Cyril
Uniqueness and existence of spirals moving by forced mean curvature motion

- Ishige, Kazuhiro
Convexity breaking of the free boundary for porous medium equations

- Ishii, Katsuyuki
Convergence of a threshold-type algorithm using the signed distance function

- Ito, K.
- Ito, Katsuo
- Jamet, D.
Structure of Korteweg models and stability of diffuse interfaces

- Jiang, Huiqiang
- Jiang, Lishang
Analysis of pricing American options on the maximum (minimum) of two risk assets

- Jordá, Enrique
Optimal regularity at the free boundary for the infinity obstacle problem

- Julin, Vesa
On the regularity of critical and minimal sets of a free interface problem

- Kagan, Leonid S.
Metastable behavior of premixed gas flames in rectangular channels

- Kahle, Christian
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach

- Kamin, Shoshana
Metastable behavior of premixed gas flames in rectangular channels

- Karakhanyan, Aram L.
On the Lipschitz regularity of solutions of a minimum problem with free boundary

- Karali, Georgia
- Karlsen, Kenneth H.
A semilinear equation for the American option in a general jump market

- Kasumba, Henry
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem

- Katsoulakis, Markos A.
Noise regularization and computations for the 1-dimensional stochastic Allen–Cahn problem

Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments

- Kawohl, Bernd
- Kay, David
Finite element approximation of a Cahn–Hilliard–Navier–Stokes system

- Khludnev, Alexander
Quasistationary problem for a cracked body with electrothermoconductivity

- Kho, Alvin T.
Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments

- Kim, Inwon C.
- Kim, Junseok
- Kimmel, Ron
An efficient solution to the eikonal equation on parametric manifolds

- Kimura, Masato
Convergence of a threshold-type algorithm using the signed distance function

Polygonal Hele–Shaw problem with surface tension

Second order numerical scheme for motion of polygonal curves with constant area speed

- King, John R.
Motion by curvature of a three-dimensional filament: similarity solutions

- Kirill, Dimitri J.
- Klein, Olaf
Modeling and simulation of sublimation growth of SiC bulk single crystals

- Klingbeil, F.
- Kohn, Robert V.
Coarsening rates for models of multicomponent phase separation

- Kohsaka, Yoshihito
- Kolokolnikov, Theodore
Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model

- Korzec, Maciek D.
Anisotropic surface energy formulations and their effect on stability of a growing thin film

- Kossioris, Georgios T.
Noise regularization and computations for the 1-dimensional stochastic Allen–Cahn problem

- Kozubek, T.
- Kraft, Daniel
- Kraus, Christiane
Asymptotic analysis for Korteweg models

Interface conditions for limits of the Navier–Stokes–Korteweg model

- Krejcí, Pavel
A nonlocal phase-field model with nonconstant specific heat

Parabolic regularization of differential inclusions and the stop operator

- Kröner, Dietmar
Scalar conservation laws on moving hypersurfaces

Interface conditions for limits of the Navier–Stokes–Korteweg model

- Kunisch, Karl
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem

- Kusaka, Yoshiaki
On a free boundary problem describing the phase transition in an incompressible viscous ﬂuid

- Lagoutière, Frédéric
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I

- Lai, Xin
Regularity of free boundary arising from optimal exercise of perpetual executive stock options

- Lakkis, Omar
Noise regularization and computations for the 1-dimensional stochastic Allen–Cahn problem

- Lam, Kei Fong
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach

- Laurain, Antoine
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem

- Laurençot, Philippe
On a three-dimensional free boundary problem modeling electrostatic MEMS

A phase-field approximation of the Willmore flow with volume constraint

- Laux, Tim
Convergence of thresholding schemes incorporating bulk effects

- Le, Nam Q.
- LeCrone, Jeremy
Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow

- Lederman, Claudia
- LeFloch, Philippe G.
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I

Computing undercompressive waves with the random choice scheme. Nonclassical shock waves

- Lengeler, Daniel
On sharp interface limits for diffuse interface models for two-phase flows

- Leonardi, Gian Paolo
- Leoni, Giovanni
- Lévi, Laurent
Obstacle problems for a coupling of quasilinear hyperbolic-parabolic equations

- Ley, Olivier
On the energy of a flow arising in shape optimization

Nonfattening condition for the generalized evolution by mean curvature and applications

- Li, Zhilin
Fine numerical analysis of the crack-tip position for a Mumford–Shah minimizer

- Lindgren, Erik
The fractional Cheeger problem

Optimal regularity for the parabolic no-sign obstacle type problem

- Lions, Pierre-Louis
Parallel algorithms for the solution of variational inequalities

- Lippoth, Friedrich
Stability of equilibria of a two-phase Stokes-osmosis problem

- Liu, Chun
- Löbhard, Caroline
- Logak, Elisabeth
Mass conserving Allen–Cahn equation and volume preserving mean curvature flow

- Lopes Filho, Milton C.
Transport of interfaces with surface tension by 2D viscous ﬂows

- Lorenzi, Luca
Rigorous derivation of the Kuramoto–Sivashinsky equation from a 2D weakly nonlinear Stefan problem

- Lowengrub, John
- Lu, Yulong
- Lucardesi, Ilaria
A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

- Lucia, M.
$\Gamma$--convergence of the Allen-Cahn energy with an oscillating forcing term

- Luskin, Mitchell
A total-variation surface energy model for thin films of martensitic crystals

- Lux, Anne
- Lyaghfouri, Abdeslem
On the regularity of the free boundary for quasilinear obstacle problems

- Lyaghfouri, Abdeslem
- Maddalena, Francesco
- Maekawa, Yasunori
- Maestre, Faustino
- Maggi, Francesco
- Maier-Paape, Stanislaus
- Malchiodi, Andrea
Curvature theory of boundary phases: the two-dimensional case

- Mancini, Alberto
- March, Riccardo
Area-preserving curve-shortening flows: from phase separation to image processing

- Marchi, Claudio
- Marigo, Jean-Jacques
- Markina, Irina
On the geometry of Hele-Shaw flows with small surface tension

- Markowich, Peter A.
- Mascia, C.
Qualitative behaviour for one-dimensional strongly degenerate parabolic problems

- Masnou, Simon
A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics

A direct variational approach to a problem arising in image reconstruction

- Matioc, Bogdan-Vasile
Hele–Shaw flow in thin threads: A rigorous limit result

A moving boundary problem for periodic Stokesian Hele–Shaw flows

- Mawi, Henok
On Hamilton–Jacobi–Bellman equations with convex gradient constraints

- Mayer, Uwe F.
- Mazet, Laurent
Structure of Korteweg models and stability of diffuse interfaces

- Mazón, José M.
A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions

- McElfresh, Mike
- McFadden, Geoffrey B.
A1-L1_0 phase boundaries and anisotropy via multiple-order-parameter theory for an fcc alloy

- Meirmanov, Anvarbek
The Muskat problem for a viscoelastic filtration

A free-boundary problem for Stokes equations: classical solutions

- Melchionna, Stefano
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth

- Mellet, Antoine
- Mennucci, A.C.G.
- Mercier, Gwenaël
Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions

- Mikayelyan, Hayk
Fine numerical analysis of the crack-tip position for a Mumford–Shah minimizer

- Mikelic, Andro
The 3D flow of a liquid through a porous medium with absorbing and swelling granules

- Miksis, Michael J.
Anomalous diffusion models in the presence of a moving interface

- Mimura, Masayasu
A free boundary problem arising in a simpliﬁed tumour growth model of contact inhibition

Travelling front solutions arising in the chemotaxis-growth model

Segregating partition problem in competition-diffusion systems

- Miura, Tatsu-Hiko
Zero width limit of the heat equation on moving thin domains

- Monneau, Régis
Uniqueness and existence of spirals moving by forced mean curvature motion

A transport formulation of moving fronts and application to dislocation dynamics

Existence and uniqueness for dislocation dynamics with nonnegative velocity

Existence and uniqueness for a free boundary problem arising in combustion theory

- Monsaingeon, Léonard
Numerical investigation of the free boundary regularity for a degenerate advection-diffusion problem

- Monteillet, Aurélien
- Mora-Corral, Carlos
Continuum limits of atomistic energies allowing smooth and sharp interfaces in 1D elasticity

- Morel, Jean-Michel
- Morgan, Frank
Stable constant-mean-curvature hypersurfaces are area minimizing in small

*L*^{1}neighborhoods - Moser, Roger
- Mucha, Piotr B.
Regular solutions to a monodimensional model with discontinuous elliptic operator

- Mugnai, Luca
- Muha, Boris
- Müller, Rüdiger
- Müller, Thomas
- Münch, Andreas
Anisotropic surface energy formulations and their effect on stability of a growing thin film

- Münch, Arnaud
- Muñoz, Ana I.
A free boundary problem in glaciology: The motion of grounding lines

- Muntean, Adrian
- Muszkieta, Monika
- Nadin, Gregoire
Traveling waves for the Keller–Segel system with Fisher birth terms

- Namah, Gawtum
On the propagation of a periodic flame front by an Arrhenius kinetic

- Nardi, Giacomo
Piecewise rigid curve deformation via a Finsler steepest descent

- Neff, Patrizio
- Negri, Matteo
Convergence analysis for a smeared crack approach in brittle fracture

- Nestler, B.
- Neves, Wladimir
- Nitsch, Carlo
Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering

A system of degenerate parabolic nonlinear PDE's: a new free boundary problem

- Nochetto, Ricardo H.
Finite horizon model predictive control of electrowetting on dielectric with pinning

Finite element methods for director fields on flexible surfaces

Mixed ﬁnite element method for electrowetting on dielectric with contact line pinning

- Nolen, James
- Novaga, Matteo
Some results on anisotropic fractional mean curvature flows

Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions

Curve shortening flow in heterogeneous media

A semidiscrete scheme for a one-dimensional Cahn–Hilliard equation

Implicit time discretization of the mean curvature flow with a discontinuous forcing term

Crystalline curvature flow of planar networks

$\Gamma$--convergence of the Allen-Cahn energy with an oscillating forcing term

First variation of anisotropic energies and crystalline mean curvature of partitions

Characterization of facet breaking for nonsmooth mean curvature flow in the convex case

Facet-breaking for three-dimensional crystals evolving by mean curvature

- Novick-Cohen, Amy
The thin film equation with backwards second order diffusion

Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility

- Ntovoris, Eleftherios
A rigorous setting for the reinitialization of first order level set equations

- Nunzio Spadaro, Emanuele
Uniform energy and density distribution: diblock copolymers’ functional

- Nürnberg, Robert
Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies

A phase field model for the electromigration of intergranular voids

- Nussenzveig Lopes, Helena J.
Transport of interfaces with surface tension by 2D viscous ﬂows

- Oelz, Dietmar
- Ohtsuka, Takeshi
On a uniform approximation of motion by anisotropic curvature by the Allen–Cahn equations

- Orlandi, Enza
- Otto, Felix
- Paolini, Emanuele
- Paolini, Maurizio
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case

Facet-breaking for three-dimensional crystals evolving by mean curvature

- Parini, Enea
- Paroni, Roberto
The energy density of martensitic thin films via dimension reduction

- Patrizi, Stefania
- Pedregal, Pablo
- Pego, Robert L.
An upper bound on the coarsening rate for mushy zones in a phase-field model

- Peichl, G.
- Peletier, Mark A.
Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient ﬂows

Stability of monolayers and bilayers in a copolymer-homopolymer blend model

A diffusion-convection problem with drainage arising in the ecology of mangroves

- Percivale, Danilo
- Perthame, Benoît
Derivation of a Hele–Shaw type system from a cell model with active motion

Traveling waves for the Keller–Segel system with Fisher birth terms

- Petrosyan, Arshak
- Peyré, Gabriel
Piecewise rigid curve deformation via a Finsler steepest descent

- Philip, Peter
Modeling and simulation of sublimation growth of SiC bulk single crystals

- Picasso, Marco
Anisotropic, adaptative finite elements for the computation of a solutal dendrite

- Plechac, P.
Convergence for stabilisation of degenerately convex minimisation problems

- Podio-Guidugli, Paolo
- Poghosyan, Mikayel
The multi-layer free boundary problem for the p-Laplacian in convex domains

- Porretta, Alessio
Two-phase ﬂows involving capillary barriers in heterogeneous porous media

Qualitative behaviour for one-dimensional strongly degenerate parabolic problems

- Portegies, Jacobus W.
Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient ﬂows

- Požár, Norbert
Long-time behavior of a Hele-Shaw type problem in random media

- Pozzi, Paola
- Pražák, Dalibor
- Prigozhin, Leonid
Lakes and rivers in the landscape: A quasi-variational inequality approach

Partial

*L*^{1}Monge–Kantorovich problem: variational formulation and numerical approximation - Prohl, Andreas
Stable discretization of scalar and constrained vectorial Perona–Malik equation

Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem

Convergence for stabilisation of degenerately convex minimisation problems

- Prokert, Georg
Stability of equilibria of a two-phase Stokes-osmosis problem

- Punzo, Fabio
On support of solutions to singular nonlinear parabolic equations in bounded domains

- Qin, Cong
Regularity of free boundary arising from optimal exercise of perpetual executive stock options

- Quirós, Fernando
Derivation of a Hele–Shaw type system from a cell model with active motion

Asymptotic behaviour of the porous media equation in domains with holes

- Racca, Simone
A variational model for the quasi-static growth of fractional dimensional brittle fractures

- Raisch, Alexander
Finite element methods for director fields on flexible surfaces

- Rajagopal, K. R.
- Ranner, Thomas
A computational approach to an optimal partition problem on surfaces

- Rao, I. J.
- Rapuch, Gregory
American options and the free boundary exercise region: a PDE approach

- Rehberg, Joachim
Optimal regularity for elliptic transmission problems including

*C*interfaces^{1} - Reikvam, K.
- Ren, Xiaofeng
- Ren, Xiaofeng
A toroidal tube solution to a problem involving mean curvature and Newtonian potential

- Ricarte, Gleydson C.
Regularity up to the boundary for singularly perturbed fully nonlinear elliptic equations

- Richardson, Giles W.
Motion by curvature of a three-dimensional filament: similarity solutions

- Rieger, Marc Oliver
Higher dimensional problems with volume constraints—Existence and

*Γ*-convergence - Riey, Giuseppe
First variation of anisotropic energies and crystalline mean curvature of partitions

- Ring, Wolfgang
- Rocca, Elisabetta
Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth

- Rodrigues, José Francisco
On the regularity of the free boundary for quasilinear obstacle problems

- Röger, Matthias
Minimising a relaxed Willmore functional for graphs subject to boundary conditions

The Allen–Cahn action functional in higher dimensions

Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation

- Rohde, Christian
Asymptotic analysis for Korteweg models

Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy

- Rondi, Luca
- Roquejoffre, Jean-Michel
- Ros, Antonio
Stable constant-mean-curvature hypersurfaces are area minimizing in small

*L*^{1}neighborhoodsStable periodic constant mean curvature surfaces and mesoscopic phase separation

- Rossi, Julio D.
The limit as $p \to \infty$ in a two-phase free boundary problem for the $p$-Laplacian

- Rossi, Riccarda
Adhesive contact delaminating at mixed mode, its thermodynamics and analysis

- Rosso, Riccardo
- Roubíček, Tomáš
Adhesive contact delaminating at mixed mode, its thermodynamics and analysis

Evolution model for martensitic phase transformation in shape-memory alloys

- Roytburd, Victor
Stability and attractors for the quasi-steady equation of cellular flames

- Rudd, Robert E.
- Ruffini, Berardo
- Rumpf, Martin
A nested variational time discretization for parametric Willmore flow

A level set formulation for Willmore flow

The Cahn-Hilliard equation with elasticity-finite element approximation and qualitative studies

- Rusu, Raluca E.
- Ruuth, Steven J.
- Rybka, Piotr
Existence of self-similar evolution of crystals grown from supersaturated vapor

- Ryzhik, Lenya
Traveling waves for the Keller–Segel system with Fisher birth terms

- Safdari, Mohammad
On the shape of the free boundary of variational inequalities with gradient constraints

- SAKAI, SHINRI
A coupled level set projection method applied to ink jet simulation

- Salani, Paolo
An overdetermined problem with non-constant boundary condition

Convexity breaking of the free boundary for porous medium equations

- Samouh, Nadia
On the Bernoulli free boundary problem and related shape optimization problems

- Santambrogio, Filippo
- Santambrogio, Filippo
Optimal channel networks, landscape function and branched transport

- Santos, Lisa
- Sato, Norifumi
- Savaré, Giuseppe
On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model

- Scala, Riccardo
- Schätzle, Reiner
On a uniform approximation of motion by anisotropic curvature by the Allen–Cahn equations

- Scherzer, Otmar
- Scheutzow, Michael
- Schieborn, Dirk
- Schieweck, Friedhelm
Error analysis for the approximation of axisymmetric Willmore flow by

*C*^{1}-finite elements - Schmeiser, Christian
- Schmidt, Alfred
Simulation of dendritic crystal growth with thermal convection

- Schmidt, Gunther
Optimal regularity for elliptic transmission problems including

*C*interfaces^{1} - Schweizer, Ben
Hysteresis in porous media: Modelling and analysis

Instability of gravity wetting fronts for Richards equations with hysteresis

- Schwindt, Erica L.
- Scilla, Giovanni
- Secchi, Paolo
Well-posedness of the linearized plasma-vacuum interface problem

- Sethian, James A.
A coupled level set-boundary integral method for moving boundary simulations

A coupled level set projection method applied to ink jet simulation

- Shah, Jayant M.
- Shahgholian, Henrik
A free boundary problem with log–term singularity

Optimal regularity for the parabolic no-sign obstacle type problem

The multi-layer free boundary problem for the p-Laplacian in convex domains

- Shanahan, L. L.
- Shao, Yuanzhen
- Shishkov, Andrey
The thin film equation with backwards second order diffusion

- Shkoller, Steve
Global existence and decay for solutions of the Hele–Shaw flow with injection

- Shmarev, Sergey
Behaviour of interfaces in a diffusion-absorption equation with critical exponents

- Sigalotti, Laura
Phase transitions in presence of surfactants: From discrete to continuum

- Šilhavý, M.
The effective energy in the Allen–Cahn model with deformation

- Simonett, Gieri
On the two-phase Navier–Stokes equations with surface tension

- Sire, Yannick
- Sivashinsky, Gregory I.
Weakly nonlinear asymptotics of the kappa-theta model of cellular flames: the Q-S equation

Metastable behavior of premixed gas flames in rectangular channels

- Slepčev, Dejan
Linear stability of selfsimilar solutions of unstable thin-ﬁlm equations

On level-set approach to motion of manifolds of arbitrary codimension

- Smarazzo, Flavia
Long-time behaviour of two-phase solutions to a class of forward-backward parabolic equations

- Smith, Kurt A.
A projection method for motion of triple junctions by level sets

- Sokolowski, Jan
Quasistationary problem for a cracked body with electrothermoconductivity

- Solci, Margherita
- Solimini, Sergio
- Solis, Francisco J.
A projection method for motion of triple junctions by level sets

- Solonnikov, Vsevolod A.
Free boundary problems of magnetohydrodynamics in multi-connected domains

On the stability of non-symmetric equilibrium figures of a rotating viscous incompressible liquid

- Song, Minsu
- Soravia, Pierpaolo
Cauchy problems for noncoercive Hamilton–Jacobi–Isaacs equations with discontinuous coefficients

- Souplet, Philippe
- Sourdis, C.
- Spencer, Brian
- Spira, Alon
An efficient solution to the eikonal equation on parametric manifolds

- Sprekels, Jürgen
A nonlocal phase-field model with nonconstant specific heat

Modeling and simulation of sublimation growth of SiC bulk single crystals

Parabolic regularization of differential inclusions and the stop operator

- Stadler, Georg
A nonsmooth model for discontinuous shear thickening fluids: Analysis and numerical solution

- Stefanelli, Ulisse
- Steigmann, David
- Stepanov, Eugene
- Sternberg, Peter
On the global minimizers of a nonlocal isoperimetric problem in two dimensions

Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems

- Stinner, Björn
On some linear parabolic PDEs on moving hypersurfaces

Second order phase field asymptotics for multi-component systems

- Stoth, Barbara
- Strauss, Walter A.
Transport of interfaces with surface tension by 2D viscous ﬂows

- Stuart, Andrew M.
- Sturm, Kevin
A structure theorem for shape functions defined on submanifolds

- Styles, Vanessa
Finite element approximation of a Cahn–Hilliard–Navier–Stokes system

Bi-directional diffusion induced grain boundary motion with triple junctions

Numerical diffusion-induced grain boundary motion

Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices

- Sundaramoorthi, G.
- Surowiec, Thomas M.
Finite horizon model predictive control of electrowetting on dielectric with pinning

- Swartz, Drew
Convergence of thresholding schemes incorporating bulk effects

- Tagami, Daisuke
- Taglialatela, Giovanni
- Takahashi, Takéo
- Tang, Min
Derivation of a Hele–Shaw type system from a cell model with active motion

- Tanoglu, Gamze B.
A1-L1_0 phase boundaries and anisotropy via multiple-order-parameter theory for an fcc alloy

- Taylor, Jean E.
Shape accommodation of a rotating embedded crystal via a new variational formulation

- Tedeev, Anatoli
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems

- Teixeira, Eduardo V.
Optimal regularity at the free boundary for the infinity obstacle problem

- Terracina, Andrea
Two-phase entropy solutions of forward–backward parabolic problems with unstable phase

Qualitative behaviour for one-dimensional strongly degenerate parabolic problems

- Terracini, Susanna
Uniqueness and least energy property for solutions to strongly competing systems

- Teymurazyan, Rafayel
On the regularity of the free boundary for quasilinear obstacle problems

- Tian, Emily M.
A nonlinear stability analysis of pattern formation in thin liquid films

- Tilli, Paolo
On a constrained variational problem with an arbitrary number of free boundaries

- Toader, Rodica
A variational model for the quasi-static growth of fractional dimensional brittle fractures

- Toland, John F.
Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves

- Toledo, Julián
A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions

- Tomarelli, Franco
- Tonegawa, Yoshihiro
- Tongen, Anthony
- Topaloglu, Ihsan
Sharp interface limit of an energy modelling nanoparticle-polymer blends

On the global minimizers of a nonlocal isoperimetric problem in two dimensions

- Torres, Monica
The integral of the normal and fluxes over sets of finite perimeter

Level set methods to compute minimal surfaces in a medium with exclusions (voids)

- Trakhinin, Yuri
Well-posedness of the linearized plasma-vacuum interface problem

- Tsai, Richard
- Tsujikawa, Tohru
Travelling front solutions arising in the chemotaxis-growth model

- Uraltseva, Nina N.
On regularity properties of solutions to the hysteresis-type problem

- Urbano, José Miguel
Optimal regularity at the free boundary for the infinity obstacle problem

Unidirectional steady flow of a viscoelastic fluid with a free surface

- Valdinoci, Enrico
- Valdinoci, Enrico
- Valkonen, Tuomo
- van Duijn, C J
A free boundary problem involving a cusp: breakthrough of salt water

- van Duijn, Cornelius J.
A diffusion-convection problem with drainage arising in the ecology of mangroves

- van Gennip, Yves
Stability of monolayers and bilayers in a copolymer-homopolymer blend model

- Van Goethem, Nicolas
Topology optimization methods with gradient-free perimeter approximation

- van Noorden, T. L.
- Vantzos, O.
- Varchon, Nicolas
- Varvaruca, Eugen
Some geometric and analytic properties of solutions of Bernoulli free-boundary problems

- Vasil'ev, Alexander
On the geometry of Hele-Shaw flows with small surface tension

- Vauchelet, Nicolas
Derivation of a Hele–Shaw type system from a cell model with active motion

- Vázquez, Juan Luis
The mesa problem for the fractional porous medium equation

Asymptotic behaviour of the porous media equation in domains with holes

Nonlinear diffusion and image contour enhancement

Behaviour of interfaces in a diffusion-absorption equation with critical exponents

- Veeser, Andreas
- Velazques, Juan José L.
A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions

- Velázquez, Juan J.L.
Interfaces determined by capillarity and gravity in a two-dimensional porous medium

- Verzini, Gianmaria
Uniqueness and least energy property for solutions to strongly competing systems

- Vespri, Vincenzo
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems

- Vialard, François-Xavier
Piecewise rigid curve deformation via a Finsler steepest descent

- Videman, Juha H.
Unidirectional steady flow of a viscoelastic fluid with a free surface

- Vierling, Morten
- Vitali, Enrico
- Vladimirsky, Alexander
- Vogl, Christopher J.
Anomalous diffusion models in the presence of a moving interface

- Voigt, Axel
- Volkmann, Alexander
On the regularity of stationary points of a nonlocal isoperimetric problem

- Vondenhoff, E.
Long-time asymptotics of Hele–Shaw flow for perturbed balls with injection and suction

- Voorhees, Peter W.
- Wagner, Barbara
Anisotropic surface energy formulations and their effect on stability of a growing thin film

- Wagner, Barbara A.
Sharp-interface model for eutectic alloys. Part I: Concentration dependent surface tension

- Walker, Christoph
On a three-dimensional free boundary problem modeling electrostatic MEMS

Two-phase flow in rotating Hele-Shaw cells with Coriolis effects

- Walker, Shawn W.
A mixed formulation of the Stefan problem with surface tension

Mixed ﬁnite element method for electrowetting on dielectric with contact line pinning

- Wallin, Olli
A semilinear equation for the American option in a general jump market

- Walsh, Timothy
Level set methods to compute minimal surfaces in a medium with exclusions (voids)

- Wang, Peiyong
The limit as $p \to \infty$ in a two-phase free boundary problem for the $p$-Laplacian

- Wanner, Thomas
- Ward, Michael J.
A two-dimensional metastable flame-front and a degenerate spike-layer problem

Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model

- Webster, Micah
Nonlinear stability analysis of a two-dimensional diffusive free boundary problem

- Wegner, Donat
Finite horizon model predictive control of electrowetting on dielectric with pinning

- Wei, Juncheng
A toroidal tube solution to a problem involving mean curvature and Newtonian potential

The critical mass constraint in the Cahn–Hilliard equation

Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model

- Weikard, Ulrich
The Cahn-Hilliard equation with elasticity-finite element approximation and qualitative studies

- Weiss, Georg S.
- Welford, Richard
Finite element approximation of a Cahn–Hilliard–Navier–Stokes system

- Wheeler, Glen
- Wheeler, Valentina-Mira
- Wilke, Mathias
- Wirth, Benedikt
On the Gamma-limit of joint image segmentation and registration functionals based on phase fields

- Witterstein, Gabriele
Distributional equation in the limit of phase transition for fluids

Two-component viscous ﬂows with density-dependent transition layer

- Wolanski, Noemi
- Wollkind, David J.
A nonlinear stability analysis of pattern formation in thin liquid films

- Wright, J. Douglas
Traveling waves from the arclength parameterization: Vortex sheets with surface tension

- Xia, Qinglan
Regularity of minimizers of quasi perimeters with a volume constraint

- Yan, Xiaodong
Coarsening rates for models of multicomponent phase separation

- Yazaki, Shigetoshi
Polygonal Hele–Shaw problem with surface tension

Second order numerical scheme for motion of polygonal curves with constant area speed

- Yeressian, Karen
Nondegeneracy in the obstacle problem with a degenerate force term

- Yezzi, A.
- Yin, Hong-Ming
On a free boundary problem modelling inductive-heating processes

- Yip, N.K.
Pinning and de-pinning phenomena in front propagation in heterogeneous media

- Yu, Jiun-Der
A coupled level set projection method applied to ink jet simulation

- Yu, Wanghui
Regularity of free boundary arising from optimal exercise of perpetual executive stock options

- Yurinsky, Vadim
A free-boundary problem for Stokes equations: classical solutions

- Zaal, Martijn
- Zacher, Rico
- Zeppieri, Caterina Ida