# Interfaces and Free Boundaries - Title Index

IFB summary | Author index | Search page

Issue 20/2 (2018) | |||
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C.Chen, Y.Choi, X.Ren | Bubbles and droplets in a singular limit of the FitzHugh–Nagumo system | go | |

J.Dalphin | Uniform ball property and existence of optimal shapes for a wide class of geometric functionals | go | |

L.Lombardini | Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global s-minimal surfaces | go | |

M.Henry, D.Hilhorst, C.Muratov | A multiple scale pattern formation cascade in reaction-diffusion systems of activator-inhibitor type | go | |

Issue 20/1 (2018) | |||

H.Antil, C.Rautenberg | Fractional elliptic quasi-variational inequalities: Theory and numerics | go | |

M.Negri, E.Vitali | Approximation and characterization of quasi-static $H^1$-evolutions for a cohesive interface with different loading-unloading regimes | go | |

M.Bonnivard, A.Lemenant, V.Millot | On a phase field approximation of the planar Steiner problem: Existence, regularity, and asymptotic of minimizers | go | |

J.Prüss, G.Simonett | The Verigin problem with and without phase transition | go | |

B.Bogosel, V.Bonnaillie-Noël | Minimal partitions for $p$-norms of eigenvalues | go | |

Issue 19/4 (2017) | |||

Y.Bernard, G.Wheeler, V.Wheeler | Rigidity and stability of spheres in the Helfrich model | go | |

A.Djurdjevac | Advection-diffusion equations with random coefficients on evolving hypersurfaces | go | |

C.Chalons, M.Delle Monache, P.Goatin | A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem | go | |

S.Melchionna, E.Rocca | Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth | go | |

G.Chen, J.Chen, M.Feldman | Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations | go | |

Issue 19/3 (2017) | |||

M.Cicalese, G.Leonardi, F.Maggi | Sharp stability inequalities for planar double bubbles | go | |

O.de Queiroz, H.Shahgholian | A free boundary problem with log–term singularity | go | |

L.Monsaingeon | Numerical investigation of the free boundary regularity for a degenerate advection-diffusion problem | go | |

A.Chambolle, M.Novaga, B.Ruffini | Some results on anisotropic fractional mean curvature flows | go | |

B.Schweizer | Hysteresis in porous media: Modelling and analysis | go | |

N.Alibaud, G.Namah | On the propagation of a periodic flame front by an Arrhenius kinetic | go | |

Issue 19/2 (2017) | |||

E.Bretin, S.Masnou | A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics | go | |

M.Safdari | On the shape of the free boundary of variational inequalities with gradient constraints | go | |

C.Lederman, N.Wolanski | Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the $p(x)$-Laplacian | go | |

M.Chiricotto, L.Giacomelli | Weak solutions to thin-film equations with contact-line friction | go | |

T.Laux, D.Swartz | Convergence of thresholding schemes incorporating bulk effects | go | |

Issue 19/1 (2017) | |||

H.Antil, M.Hintermüller, R.Nochetto, T.Surowiec, D.Wegner | Finite horizon model predictive control of electrowetting on dielectric with pinning | go | |

T.Miura | Zero width limit of the heat equation on moving thin domains | go | |

R.Scala | A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint | go | |

K.Deckelnick, H.Grunau, M.Röger | Minimising a relaxed Willmore functional for graphs subject to boundary conditions | go | |

Issue 18/4 (2016) | |||

B.Wirth | On the Gamma-limit of joint image segmentation and registration functionals based on phase fields | go | |

K.Ishii, M.Kimura | Convergence of a threshold-type algorithm using the signed distance function | go | |

K.Sturm | A structure theorem for shape functions defined on submanifolds | go | |

J.Babadjian, D.Henao | Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination | go | |

N.Hamamuki, E.Ntovoris | A rigorous setting for the reinitialization of first order level set equations | go | |

Issue 18/3 (2016) | |||

R.Hynd, H.Mawi | On Hamilton–Jacobi–Bellman equations with convex gradient constraints | go | |

D.Kraft | A Hopf–Lax formula for the time evolution of the level-set equation and a new approach to shape sensitivity analysis | go | |

M.Calle, C.Cuesta, J.Velázquez | Interfaces determined by capillarity and gravity in a two-dimensional porous medium | go | |

P.Laurençot, C.Walker | On a three-dimensional free boundary problem modeling electrostatic MEMS | go | |

F.Lippoth | On the justification of the quasistationary approximation of several parabolic moving boundary problems – Part II | go | |

Issue 18/2 (2016) | |||

N.Aguillon | Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme | go | |

F.Lippoth, G.Prokert | Stability of equilibria of a two-phase Stokes-osmosis problem | go | |

M.Iglesias, Y.Lu, A.Stuart | A Bayesian level set method for geometric inverse problems | go | |

H.Garcke, C.Hecht, M.Hinze, C.Kahle, K.Lam | Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach | go | |

S.Alama, L.Bronsard, I.Topaloglu | Sharp interface limit of an energy modelling nanoparticle-polymer blends | go | |

Issue 18/1 (2016) | |||

G.Charpiat, G.Nardi, G.Peyré, F.Vialard | Piecewise rigid curve deformation via a Finsler steepest descent | go | |

B.Gilding, J.Goncerzewicz | The porous media equation in an infinite cylinder, between two infinite parallel plates, and like spatial domains | go | |

Z.Li, H.Mikayelyan | Fine numerical analysis of the crack-tip position for a Mumford–Shah minimizer | go | |

P.Dondl, K.Bhattacharya | Effective behavior of an interface propagating through a periodic elastic medium | go | |

J.Rossi, P.Wang | The limit as $p \to \infty$ in a two-phase free boundary problem for the $p$-Laplacian | go | |

Issue 17/4 (2015) | |||

C.Davis, S.Walker | A mixed formulation of the Stefan problem with surface tension | go | |

B.Muha, S.Čanić | Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy | go | |

G.Francfort, A.Giacomini, J.Marigo | The taming of plastic slips in von Mises elasto-plasticity | go | |

M.Bugeanu, H.Harbrecht | A second order convergent trial method for a free boundary problem in three dimensions | go | |

D.Goldman, A.Volkmann | On the regularity of stationary points of a nonlocal isoperimetric problem | go | |

G.Anger, Y.Shao, G.Simonett | On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension | go | |

Issue 17/3 (2015) | |||

A.Terracina | Two-phase entropy solutions of forward–backward parabolic problems with unstable phase | go | |

G.Ricarte, J.da Silva | Regularity up to the boundary for singularly perturbed fully nonlinear elliptic equations | go | |

J.Díaz | On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via flat solutions: The one-dimensional case | go | |

C.Elliott, T.Ranner | A computational approach to an optimal partition problem on surfaces | go | |

E.Jordá, E.Teixeira, J.Urbano | Optimal regularity at the free boundary for the infinity obstacle problem | go | |

G.Mercier, M.Novaga | Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions | go | |

Issue 17/2 (2015) | |||

A.Tedeev, V.Vespri | Optimal behavior of the support of the solutions to a class of degenerate parabolic systems | go | |

A.Alphonse, C.Elliott, B.Stinner | On some linear parabolic PDEs on moving hypersurfaces | go | |

P.Pozzi | Computational anisotropic Willmore flow | go | |

K.Yeressian | Nondegeneracy in the obstacle problem with a degenerate force term | go | |

I.Bright, M.Torres | The integral of the normal and fluxes over sets of finite perimeter | go | |

J.Vázquez | The mesa problem for the fractional porous medium equation | go | |

Issue 17/1 (2015) | |||

J.Fischer | Estimates on front propagation for nonlinear higher-order parabolic equations: An algorithmic approach | go | |

C.Brett, C.Elliott, M.Hintermüller, C.Löbhard | Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state | go | |

D.Gomes, S.Patrizi | Obstacle mean-field game problem | go | |

C.Qin, X.Chen, X.Lai, W.Yu | Regularity of free boundary arising from optimal exercise of perpetual executive stock options | go | |

D.Apushkinskaya, N.Uraltseva | On regularity properties of solutions to the hysteresis-type problem | go | |

N.Fusco, V.Julin | On the regularity of critical and minimal sets of a free interface problem | go | |

Issue 16/4 (2014) | |||

H.Kasumba, K.Kunisch, A.Laurain | A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem | go | |

B.Perthame, F.Quirós, M.Tang, N.Vauchelet | Derivation of a Hele–Shaw type system from a cell model with active motion | go | |

S.Racca, R.Toader | A variational model for the quasi-static growth of fractional dimensional brittle fractures | go | |

T.Asai, Y.Giga | On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions | go | |

J.De los Reyes, G.Stadler | A nonsmooth model for discontinuous shear thickening fluids: Analysis and numerical solution | go | |

Issue 16/3 (2014) | |||

C.Cheng, D.Coutand, S.Shkoller | Global existence and decay for solutions of the Hele–Shaw flow with injection | go | |

N.Chemetov, W.Neves | On a generalized Muskat–Brinkman type problem | go | |

S.Challal, A.Lyaghfouri, J.Rodrigues, R.Teymurazyan | On the regularity of the free boundary for quasilinear obstacle problems | go | |

H.Abels, D.Lengeler | On sharp interface limits for diffuse interface models for two-phase flows | go | |

L.Brasco, E.Lindgren, E.Parini | The fractional Cheeger problem | go | |

Issue 16/2 (2014) | |||

M.Vierling | Parabolic optimal control problems on evolving surfaces subject to point-wise box constraints on the control – theory and numerical realization | go | |

L.Berselli, D.Córdoba, R.Granero-Belinchón | Local solvability and turning for the inhomogeneous Muskat problem | go | |

C.Bianchini, A.Henrot, P.Salani | An overdetermined problem with non-constant boundary condition | go | |

M.Alfaro, P.Alifrangis | Convergence of a mass conserving Allen–Cahn equation whose Lagrange multiplier is nonlocal and local | go | |

J.Barrett, L.Prigozhin | Lakes and rivers in the landscape: A quasi-variational inequality approach | go | |

Issue 16/1 (2014) | |||

J.Andrews, A.Vladimirsky | Deterministic control of randomly-terminated processes | go | |

J.LeCrone | Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow | go | |

D.Antonopoulou, G.Karali, E.Orlandi | A Hilbert expansion method for the rigorous sharp interface limit of the generalized Cahn–Hilliard equation | go | |

A.Chen, J.Darbon, G.Buttazzo, F.Santambrogio, J.Morel | On the equations of landscape formation | go | |

Issue 15/4 (2013) | |||

G.Anger, G.Simonett, R.Zacher | On the qualitative behaviour of incompressible two-phase flows with phase transitions: The case of equal densities | go | |

M.Giga, Y.Giga | On the role of kinetic and interfacial anisotropy in the crystal growth theory | go | |

A.Braides, G.Scilla | Motion of discrete interfaces in periodic media | go | |

J.Andersson, E.Lindgren, H.Shahgholian | Optimal regularity for the parabolic no-sign obstacle type problem | go | |

Issue 15/3 (2013) | |||

H.Hardering | Numerical approximation of capillary surfaces in a negative gravitational field | go | |

X.Chen, H.Jiang | Regularity of expanding front and its application to solidification/melting in undercooled liquid/superheated solid | go | |

P.Secchi, Y.Trakhinin | Well-posedness of the linearized plasma-vacuum interface problem | go | |

B.Akers, D.Ambrose, J.Wright | Traveling waves from the arclength parameterization: Vortex sheets with surface tension | go | |

R.Borsche, R.Colombo, M.Garavello | On the interactions between a solid body and a compressible inviscid fluid | go | |

Issue 15/2 (2013) | |||

M.Grasmair, M.Muszkieta, O.Scherzer | An approach to the minimization of the Mumford–Shah functional using $\Gamma$-convergence and topological asymptotic expansion | go | |

T.Aiki, A.Muntean | A free-boundary problem for concrete carbonation: Front nucleation and rigorous justification of the $\sqrt{{t}}$-law of propagation | go | |

C.Gruber, C.Vogl, M.Miksis, S.Davis | Anomalous diffusion models in the presence of a moving interface | go | |

G.Dziuk, D.Kröner, T.Müller | Scalar conservation laws on moving hypersurfaces | go | |

J.Escher, P.Guidotti, C.Walker | Two-phase flow in rotating Hele-Shaw cells with Coriolis effects | go | |

Issue 15/1 (2013) | |||

R.Rossi, T.Roubíček | Adhesive contact delaminating at mixed mode, its thermodynamics and analysis | go | |

H.Abels, M.Wilke | Well-posedness and qualitative behaviour of solutions for a two-phase Navier–Stokes-Mullins–Sekerka system | go | |

M.Kimura, D.Tagami, S.Yazaki | Polygonal Hele–Shaw problem with surface tension | go | |

J.Alibert, G.Bouchitté, I.Fragalà, I.Lucardesi | A nonstandard free boundary problem arising in the shape optimization of thin torsion rods | go | |

F.Camilli, D.Schieborn, C.Marchi | Eikonal equations on ramified spaces | go | |

Issue 14/4 (2012) | |||

N.Balzani, M.Rumpf | A nested variational time discretization for parametric Willmore flow | go | |

Y.Achdou, M.Falcone | A semi-Lagrangian scheme for mean curvature motion with nonlinear Neumann conditions | go | |

M.Zaal | Cell swelling by osmosis: A variational approach | go | |

D.Bucur, G.Buttazzo, U.Stefanelli | Shape flows for spectral optimization problems | go | |

M.Korzec, A.Münch, B.Wagner | Anisotropic surface energy formulations and their effect on stability of a growing thin film | go | |

V.Solonnikov | Free boundary problems of magnetohydrodynamics in multi-connected domains | go | |

Issue 14/3 (2012) | |||

M.Boulakia, E.Schwindt, T.Takahashi | Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid | go | |

M.Allen, A.Petrosyan | A two-phase problem with a lower-dimensional free boundary | go | |

J.Barrett, K.Deckelnick | Existence and approximation of a nonlinear degenerate parabolic system modelling acid-mediated tumour invasion | go | |

N.Forcadel, C.Imbert, R.Monneau | Uniqueness and existence of spirals moving by forced mean curvature motion | go | |

S.Amstutz, N.Van Goethem | Topology optimization methods with gradient-free perimeter approximation | go | |

Issue 14/2 (2012) | |||

P.Mucha | Regular solutions to a monodimensional model with discontinuous elliptic operator | go | |

Y.Sire, E.Valdinoci | Density estimates for phase transitions with a trace | go | |

A.Mellet, J.Nolen | Capillary drops on a rough surface | go | |

C.Liu, N.Sato, Y.Tonegawa | Two-phase flow problem coupled with mean curvature flow | go | |

B.Matioc, G.Prokert | Hele–Shaw flow in thin threads: A rigorous limit result | go | |

S.Bartels, G.Dolzmann, R.Nochetto, A.Raisch | Finite element methods for director fields on flexible surfaces | go | |

Issue 14/1 (2012) | |||

E.Bonnetier, E.Bretin, A.Chambolle | Consistency result for a non monotone scheme for anisotropic mean curvature flow | go | |

B.Schweizer | Instability of gravity wetting fronts for Richards equations with hysteresis | go | |

R.Alicandro, M.Cicalese, L.Sigalotti | Phase transitions in presence of surfactants: From discrete to continuum | go | |

W.Dreyer, J.Giesselmann, C.Kraus, C.Rohde | Asymptotic analysis for Korteweg models | go | |

Issue 13/4 (2011) | |||

J.De los Reyes, M.Hintermüller | A duality based semismooth Newton framework for solving variational inequalities of the second kind | go | |

A.Meirmanov | The Muskat problem for a viscoelastic filtration | go | |

A.Cesaroni, M.Novaga, E.Valdinoci | Curve shortening flow in heterogeneous media | go | |

M.Grasselli, D.Pražák | Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity | go | |

H.Alt, G.Witterstein | Distributional equation in the limit of phase transition for fluids | go | |

Issue 13/3 (2011) | |||

J.Haehnle | Numerical approximations of the Mumford–Shah functional for unit vector fields | go | |

C.Geldhauser, M.Novaga | A semidiscrete scheme for a one-dimensional Cahn–Hilliard equation | go | |

P.Colli, P.Laurençot | A phase-field approximation of the Willmore flow with volume constraint | go | |

W.Ring, L.Rondi | Reconstruction of cracks and material losses by perimeter-like penalizations and phase-field methods: numerical results | go | |

N.Požár | Long-time behavior of a Hele-Shaw type problem in random media | go | |

F.Punzo | On support of solutions to singular nonlinear parabolic equations in bounded domains | go | |

N.Dirr, P.Dondl, M.Scheutzow | Pinning of interfaces in random media | go | |

F.Lippoth | On the blow-up mechanism of moving boundary problems | go | |

Issue 13/2 (2011) | |||

D.Caraballo | Local simplicity, topology, and sets of finite perimeter | go | |

A.Brancolini, S.Solimini | On the Hölder regularity of the landscape function | go | |

D.De Silva | Free boundary regularity for a problem with right hand side | go | |

K.Hermsdörfer, C.Kraus, D.Kröner | Interface conditions for limits of the Navier–Stokes–Korteweg model | go | |

M.Šilhavý | The effective energy in the Allen–Cahn model with deformation | go | |

R.Iagar, P.Laurençot, J.Vázquez | Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent | go | |

Issue 13/1 (2011) | |||

T.Blesgen, I.Chenchiah | A generalized Cahn–Hilliard equation incorporating geometrically linear elasticity | go | |

T.van Noorden, C.Eck | Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation | go | |

I.Durus, A.Lux | Analysis and simulation of debonding membranes | go | |

C.Brauner, J.Hulshof, L.Lorenzi | Rigorous derivation of the Kuramoto–Sivashinsky equation from a 2D weakly nonlinear Stefan problem | go | |

M.Ghisi, M.Gobbino | On the evolution of subcritical regions for the Perona–Malik equation | go | |

X.Ren, J.Wei | A toroidal tube solution to a problem involving mean curvature and Newtonian potential | go | |

P.Sternberg, I.Topaloglu | On the global minimizers of a nonlocal isoperimetric problem in two dimensions | go | |

Issue 12/4 (2010) | |||

E.Carlini, M.Falcone, R.Ferretti | Convergence of a large time-step scheme for mean curvature motion | go | |

Ł.Bolikowski, M.Gokieli, N.Varchon | The Neumann problem in an irregular domain | go | |

A.Novick-Cohen, A.Shishkov | The thin film equation with backwards second order diffusion | go | |

J.Dobrosotskaya, A.Bertozzi | Wavelet analogue of the Ginzburg–Landau energy and its Γ-convergence | go | |

X.Chen, D.Hilhorst, E.Logak | Mass conserving Allen–Cahn equation and volume preserving mean curvature flow | go | |

K.Deckelnick, F.Schieweck | Error analysis for the approximation of axisymmetric Willmore flow by C^{1}-finite elements |
go | |

Issue 12/3 (2010) | |||

J.Andersson | Boundary regularity for a parabolic obstacle type problem | go | |

M.Webster, P.Guidotti | Nonlinear stability analysis of a two-dimensional diffusive free boundary problem | go | |

G.Anger, G.Simonett | On the two-phase Navier–Stokes equations with surface tension | go | |

C.De Zan, P.Soravia | Cauchy problems for noncoercive Hamilton–Jacobi–Isaacs equations with discontinuous coefficients | go | |

F.Smarazzo | Long-time behaviour of two-phase solutions to a class of forward-backward parabolic equations | go | |

Issue 12/2 (2010) | |||

J.Portegies, M.Peletier | Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient ﬂows | go | |

F.Morgan, A.Ros | Stable constant-mean-curvature hypersurfaces are area minimizing in small L^{1} neighborhoods |
go | |

Y.Kusaka | On a free boundary problem describing the phase transition in an incompressible viscous ﬂuid | go | |

J.Barrett, H.Garcke, R.Nürnberg | Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies | go | |

M.Bertsch, R.Dal Passo, M.Mimura | A free boundary problem arising in a simpliﬁed tumour growth model of contact inhibition | go | |

C.Liu, N.Sato, Y.Tonegawa | On the existence of mean curvature ﬂow with transport term | go | |

Issue 12/1 (2010) | |||

P.Baldi, J.Toland | Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves | go | |

D.Ambrose, M.Lopes Filho, H.Nussenzveig Lopes, W.Strauss | Transport of interfaces with surface tension by 2D viscous ﬂows | go | |

S.Bartels, R.Müller | A posteriori error controlled local resolution of evolving interfaces for generalized Cahn–Hilliard equations | go | |

K.Ishige, P.Salani | Convexity breaking of the free boundary for porous medium equations | go | |

S.Walker, A.Bonito, R.Nochetto | Mixed ﬁnite element method for electrowetting on dielectric with contact line pinning | go | |

Issue 11/4 (2009) | |||

K.Karlsen, O.Wallin | A semilinear equation for the American option in a general jump market | go | |

A.Greco, B.Kawohl | On the convexity of some free boundaries | go | |

M.Beneš, M.Kimura, S.Yazaki | Second order numerical scheme for motion of polygonal curves with constant area speed | go | |

G.Witterstein | Two-component viscous ﬂows with density-dependent transition layer | go | |

T.Valkonen | Optimal transportation networks and stations | go | |

Issue 11/3 (2009) | |||

Y.van Gennip, M.Peletier | Stability of monolayers and bilayers in a copolymer-homopolymer blend model | go | |

D.Slepčev | Linear stability of selfsimilar solutions of unstable thin-ﬁlm equations | go | |

R.Moser | On the energy of domain walls in ferromagnetism | go | |

C.Mora-Corral | Continuum limits of atomistic energies allowing smooth and sharp interfaces in 1D elasticity | go | |

E.Nunzio Spadaro | Uniform energy and density distribution: diblock copolymers’ functional | go | |

Issue 11/2 (2009) | |||

R.Argiolas, F.Ferrari | Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefﬁcients | go | |

J.Barrett, L.Prigozhin | Partial L^{1} Monge–Kantorovich problem: variational formulation and numerical approximation |
go | |

C.Cancès, T.Gallouët, A.Porretta | Two-phase ﬂows involving capillary barriers in heterogeneous porous media | go | |

C.Eck, M.Fontelos, G.Grün, F.Klingbeil, O.Vantzos | On a phase-ﬁeld model for electrowetting | go | |

S.Cacace, A.Garroni | A multi-phase transition model for dislocations with interfacial microstructure | go | |

J.Haslinger, K.Ito, T.Kozubek, K.Kunisch, G.Peichl | On the shape derivative for problems of Bernoulli type | go | |

Issue 11/1 (2009) | |||

H.Alt, W.Alt | Phase boundary dynamics: transitions between ordered and disordered lipid monolayers | go | |

K.Glasner, I.Kim | Viscosity solutions for a model of contact line motion | go | |

A.Braides, C.Zeppieri | Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy | go | |

J.Escher, B.Matioc | A moving boundary problem for periodic Stokesian Hele–Shaw flows | go | |

N.Le | Regularity and nonexistence results for some free-interface problems related to Ginzburg–Landau vortices | go | |

C.Imbert | Level set approach for fractional mean curvature flows | go | |

Issue 10/4 (2008) | |||

A.Mennucci, A.Yezzi, G.Sundaramoorthi | Properties of Sobolev-type metrics in the space of curves | go | |

C.Lederman, D.Oelz | A quasilinear parabolic singular perturbation problem | go | |

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

F.Maddalena, D.Percivale | Variational models for peeling problems | go | |

G.Nadin, B.Perthame, L.Ryzhik | Traveling waves for the Keller–Segel system with Fisher birth terms | go | |

P.Pozzi | Anisotropic mean curvature flow for two-dimensional surfaces in higher codimension: a numerical scheme | go | |

Issue 10/3 (2008) | |||

S.Esedoglu, S.Ruuth, R.Tsai | Threshold dynamics for high order geometric motions | go | |

A.Chambolle, M.Novaga | Implicit time discretization of the mean curvature flow with a discontinuous forcing term | go | |

X.Ren, J.Wei | The critical mass constraint in the Cahn–Hilliard equation | go | |

X.Chen, B.Hu | Viscosity solutions of discontinuous Hamilton–Jacobi equations | go | |

H.Yin | On a free boundary problem modelling inductive-heating processes | go | |

M.Bertsch, C.Nitsch | Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering | go | |

B.Boutin, C.Chalons, F.Lagoutière, P.LeFloch | Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I | go | |

Issue 10/2 (2008) | |||

R.Grzhibovskis, A.Heintz | A convolution thresholding scheme for the Willmore flow | go | |

M.Rieger | Higher dimensional problems with volume constraints—Existence and Γ-convergence |
go | |

M.Conti, V.Felli | Coexistence and segregation for strongly competing species in special domains | go | |

C.Chalons, P.Goatin | Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling | go | |

P.Cardaliaguet, O.Ley | On the energy of a flow arising in shape optimization | go | |

A.Friedman | A multiscale tumor model | go | |

Issue 10/1 (2008) | |||

S.Biton, P.Cardaliaguet, O.Ley | Nonfattening condition for the generalized evolution by mean curvature and applications | go | |

D.Kay, V.Styles, R.Welford | Finite element approximation of a Cahn–Hilliard–Navier–Stokes system | go | |

L.Mugnai, M.Röger | The Allen–Cahn action functional in higher dimensions | go | |

A.Karakhanyan | On the Lipschitz regularity of solutions of a minimum problem with free boundary | go | |

F.Maestre, A.Münch, P.Pedregal | Optimal design under the one-dimensional wave equation | go | |

G.Dziuk, C.Elliott | Eulerian finite element method for parabolic PDEs on implicit surfaces | go | |

Issue 9/4 (2007) | |||

S.Bartels, A.Prohl | Stable discretization of scalar and constrained vectorial Perona–Malik equation | go | |

P.Neff, K.Chelminski | A geometrically exact Cosserat shell-model for defective elastic crystals. Justification via Γ-convergence |
go | |

J.Taylor, J.Cahn | Shape accommodation of a rotating embedded crystal via a new variational formulation | go | |

A.Cheviakov, M.Ward | A two-dimensional metastable flame-front and a degenerate spike-layer problem | go | |

Y.Maekawa | On a free boundary problem of viscous incompressible flows | go | |

Issue 9/3 (2007) | |||

M.Negri | Convergence analysis for a smeared crack approach in brittle fracture | go | |

L.Lévi | Obstacle problems for a coupling of quasilinear hyperbolic-parabolic equations | go | |

A.Ros | Stable periodic constant mean curvature surfaces and mesoscopic phase separation | go | |

E.Varvaruca | Some geometric and analytic properties of solutions of Bernoulli free-boundary problems | go | |

R.Monneau | A transport formulation of moving fronts and application to dislocation dynamics | go | |

B.Bourdin | Numerical implementation of the variational formulation for quasi-static brittle fracture | go | |

Issue 9/2 (2007) | |||

J.Barrett, H.Garcke, R.Nürnberg | A phase field model for the electromigration of intergranular voids | go | |

C.Brändle, F.Quirós, J.Vázquez | Asymptotic behaviour of the porous media equation in domains with holes | go | |

J.Elschner, J.Rehberg, G.Schmidt | Optimal regularity for elliptic transmission problems including C interfaces^{1} |
go | |

A.Monteillet | Integral formulations of the geometric eikonal equation | go | |

P.Krejcí, E.Rocca, J.Sprekels | A nonlocal phase-field model with nonconstant specific heat | go | |

Issue 9/1 (2007) | |||

M.Katsoulakis, G.Kossioris, O.Lakkis | Noise regularization and computations for the 1-dimensional stochastic Allen–Cahn problem | go | |

H.Abels | On generalized solutions of two-phase flows for viscous incompressible fluids | go | |

M.Fontelos, A.Muñoz | A free boundary problem in glaciology: The motion of grounding lines | go | |

K.Djie | An upper bound for the waiting time for doubly nonlinear parabolic equations | go | |

M.Focardi, M.Gelli | Asymptotic analysis of Mumford–Shah type energies in periodically perforated domains | go | |

E.Teixeira | Uniqueness, symmetry and full regularity of free boundary in optimization problems with volume constraint | go | |

F.Santambrogio | Optimal channel networks, landscape function and branched transport | go | |

Issue 8/4 (2006) | |||

E.Paolini, E.Stepanov | Optimal transportation networks as flat chains | go | |

M.Conti, S.Terracini, G.Verzini | Uniqueness and least energy property for solutions to strongly competing systems | go | |

F.Andreu, N.Igbida, J.Mazón, J.Toledo | A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions | go | |

G.Bellettini, M.Chermisi, M.Novaga | Crystalline curvature flow of planar networks | go | |

K.Glasner | Homogenization of contact line dynamics | go | |

Issue 8/3 (2006) | |||

C.Mascia, A.Porretta, A.Terracina | Qualitative behaviour for one-dimensional strongly degenerate parabolic problems | go | |

A.Vladimirsky | Static PDEs for time-dependent control problems | go | |

C.Brauner, M.Frankel, J.Hulshof, V.Roytburd | Stability and attractors for the quasi-steady equation of cellular flames | go | |

Y.Giga, T.Ohtsuka, R.Schätzle | On a uniform approximation of motion by anisotropic curvature by the Allen–Cahn equations | go | |

J.Barrett, L.Prigozhin | Dual formulations in critical state problems | go | |

R.Choksi, P.Sternberg | Periodic phase separation: the periodic Cahn-Hilliard and isoperimetric problems | go | |

Issue 8/2 (2006) | |||

H.Garcke, B.Stinner | Second order phase field asymptotics for multi-component systems | go | |

N.Alikakos, P.Fife, G.Fusco, C.Sourdis | Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries | go | |

T.Kolokolnikov, M.Ward, J.Wei | Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model | go | |

M.Funaki, M.Mimura, T.Tsujikawa | Travelling front solutions arising in the chemotaxis-growth model | go | |

A.Friedman | A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth | go | |

Issue 8/1 (2006) | |||

A.Tongen, D.Chopp | Simulation of multigrain thin film growth | go | |

K.Deckelnick, G.Dziuk | Error analysis of a finite element method for the Willmore flow of graphs | go | |

N.Dirr, M.Lucia, M.Novaga | $\Gamma$--convergence of the Allen-Cahn energy with an oscillating forcing term | go | |

N.Dirr, N.Yip | Pinning and de-pinning phenomena in front propagation in heterogeneous media | go | |

L.Giacomelli, G.Grün | Lower bounds on waiting times for degenerate parabolic equations and systems | go | |

Issue 7/4 (2005) | |||

F.Hausser, A.Voigt | A discrete scheme for regularized anisotropic surface diffusion: a 6th order geometric evolution equation | go | |

S.Benzoni-Gavage, S.Descombes, D.Jamet, L.Mazet | Structure of Korteweg models and stability of diffuse interfaces | go | |

O.Alvarez, P.Cardaliaguet, R.Monneau | Existence and uniqueness for dislocation dynamics with nonnegative velocity | go | |

J.Kim, J.Lowengrub | Phase field modeling and simulation of three-phase flows | go | |

Issue 7/3 (2005) | |||

R.Rusu | An algorithm for the elastic flow of surfaces | go | |

D.Caraballo | 2-Dimensional flat curvature flow of crystals | go | |

M.Bertsch, R.Dal Passo, C.Nitsch | A system of degenerate parabolic nonlinear PDE's: a new free boundary problem | go | |

M.Garzon, D.Adalsteinsson, L.Gray, J.Sethian | A coupled level set-boundary integral method for moving boundary simulations | go | |

M.Song | Geometric evolutions driven by threshold dynamics | go | |

A.Azevedo, J.Rodrigues, L.Santos | The N-membranes problem for quasilinear degenerate systems |
go | |

Q.Xia | Regularity of minimizers of quasi perimeters with a volume constraint | go | |

Issue 7/2 (2005) | |||

C.Brauner, M.Frankel, J.Hulshof, G.Sivashinsky | Weakly nonlinear asymptotics of the kappa-theta model of cellular flames: the Q-S equation | go | |

S.Cui | Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors | go | |

M.Torres, D.Chopp, T.Walsh | Level set methods to compute minimal surfaces in a medium with exclusions (voids) | go | |

S.Dai, R.Pego | An upper bound on the coarsening rate for mushy zones in a phase-field model | go | |

W.Dreyer, B.Wagner | Sharp-interface model for eutectic alloys. Part I: Concentration dependent surface tension | go | |

Issue 7/1 (2005) | |||

X.Feng, A.Prohl | Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem | go | |

F.Alter, V.Caselles, A.Chambolle | Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow | go | |

A.Petrosyan, E.Valdinoci | Geometric properties of Bernoulli-type minimizers | go | |

G.Rapuch | American options and the free boundary exercise region: a PDE approach | go | |

P.Gorka | Critical size of crystals in the plane | go | |

C.Rohde | Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy | go | |

Issue 6/4 (2004) | |||

F.Benth, K.Karlsen, K.Reikvam | A semilinear Black and Scholes partial differential equation for valuing American options: approximate solutions and convergence | go | |

Y.Giga, P.Rybka | Existence of self-similar evolution of crystals grown from supersaturated vapor | go | |

H.Berestycki, L.Kagan, S.Kamin, G.Sivashinsky | Metastable behavior of premixed gas flames in rectangular channels | go | |

L.Freddi, R.Paroni | The energy density of martensitic thin films via dimension reduction | go | |

V.Solonnikov | On the stability of non-symmetric equilibrium figures of a rotating viscous incompressible liquid | go | |

Issue 6/3 (2004) | |||

H.Garcke, V.Styles | Bi-directional diffusion induced grain boundary motion with triple junctions | go | |

O.Klein, P.Philip, J.Sprekels | Modeling and simulation of sublimation growth of SiC bulk single crystals | go | |

A.Spira, R.Kimmel | An efficient solution to the eikonal equation on parametric manifolds | go | |

K.Deckelnick, C.Elliott | Uniqueness and error analysis for Hamilton-Jacobi equations with discontinuities | go | |

U.Clarenz | The Wulff shape minimizes an anisotropic Willmore functional | go | |

M.Droske, M.Rumpf | A level set formulation for Willmore flow | go | |

Issue 6/2 (2004) | |||

B.Craciun, K.Bhattacharya | Effective motion of a curvature-sensitive interface through a heterogeneous medium | go | |

J.Escher | Classical solutions to a moving boundary problem for an elliptic-parabolic system | go | |

A.Chambolle | An algorithm for Mean Curvature Motion | go | |

P.Pozzi | The discrete Douglas Problem: theory and numerics | go | |

S.Bartels, C.Carstensen, P.Plechac, A.Prohl | Convergence for stabilisation of degenerately convex minimisation problems | go | |

Issue 6/1 (2004) | |||

J.Hulshof, L.Lorenzi | Stability in a two-dimensional combustion model | go | |

G.Barenblatt, J.Vázquez | Nonlinear diffusion and image contour enhancement | go | |

S.Challal, A.Lyaghfouri | A filtration problem through a heterogeneous porous medium | go | |

A.Acker, A.Henrot, M.Poghosyan, H.Shahgholian | The multi-layer free boundary problem for the p-Laplacian in convex domains | go | |

M.Röger | Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation | go | |

R.Kohn, X.Yan | Coarsening rates for models of multicomponent phase separation | go | |

Issue 5/4 (2003) | |||

D.Steigmann, E.Baesu, R.Rudd, J.Belak, M.McElfresh | On the variational theory of cell-membrane equilibria | go | |

J.Coulombel | Stability of multidimensional undercompressive shock waves | go | |

F.Maddalena, G.Taglialatela, J.Morel | A variational model of irrigation patterns | go | |

D.Slepčev | On level-set approach to motion of manifolds of arbitrary codimension | go | |

J.Yu, S.SAKAI, J.Sethian | A coupled level set projection method applied to ink jet simulation | go | |

L.Giacomelli, F.Otto | Rigorous lubrication approximation | go | |

Issue 5/3 (2003) | |||

G.Barles, F.Da Lio | A geometrical approach to front propagation problems in bounded domains with Neumann-type boundary conditions | go | |

G.Tanoglu, R.Braun, J.Cahn, G.McFadden | A1-L1_0 phase boundaries and anisotropy via multiple-order-parameter theory for an fcc alloy | go | |

M.Burger | A framework for the construction of level set methods for shape optimization and reconstruction | go | |

G.Bellettini, M.Novaga, G.Riey | First variation of anisotropic energies and crystalline mean curvature of partitions | go | |

Issue 5/2 (2003) | |||

E.Burman, M.Picasso | Anisotropic, adaptative finite elements for the computation of a solutal dendrite | go | |

C.Chalons, P.LeFloch | Computing undercompressive waves with the random choice scheme. Nonclassical shock waves | go | |

S.Cui, A.Friedman | A Hyperbolic Free Boundary Problem Modeling Tumor Growth | go | |

A.Vasil'ev, I.Markina | On the geometry of Hele-Shaw flows with small surface tension | go | |

X.Ren, J.Wei | On energy minimizers of the diblock copolymer problem | go | |

Issue 5/1 (2003) | |||

E.Tian, D.Wollkind | A nonlinear stability analysis of pattern formation in thin liquid films | go | |

M.Solci, E.Vitali | Variational models for phase separation | go | |

P.Gordon, L.Kagan, G.Sivashinsky | Fast subsonic combustion as a free-interface problem | go | |

L.Ambrosio, S.Masnou | A direct variational approach to a problem arising in image reconstruction | go | |

G.Barles, J.Roquejoffre | Large time behavior of fronts governed by eikonal equations | go | |

Issue 4/4 (2002) | |||

I.Capuzzo Dolcetta, S.Finzi Vita, R.March | Area-preserving curve-shortening flows: from phase separation to image processing | go | |

A.Braides, A.Malchiodi | Curvature theory of boundary phases: the two-dimensional case | go | |

D.Kirill, S.Davis, M.Miksis, P.Voorhees | Morphological instability of pores and tubules | go | |

G.Richardson, J.King | Motion by curvature of a three-dimensional filament: similarity solutions | go | |

P.Krejcí, J.Sprekels | Parabolic regularization of differential inclusions and the stop operator | go | |

Issue 4/3 (2002) | |||

P.Bates, E.Cabral Balreira | Traveling wave solutions for a nonlocal phase-field system | go | |

A.Fasano, A.Mikelic | The 3D flow of a liquid through a porous medium with absorbing and swelling granules | go | |

K.Smith, F.Solis, D.Chopp | A projection method for motion of triple junctions by level sets | go | |

J.Barrett, R.Nürnberg | Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation | go | |

G.Grün | Droplet spreading under weak slippage: the optimal asymptotic propagation rate in the multi-dimensional case | go | |

Issue 4/2 (2002) | |||

T.Roubíček | Evolution model for martensitic phase transformation in shape-memory alloys | go | |

D.Percivale, F.Tomarelli | From SBD to SBH: the elastic-plastic plate | go | |

F.Hamel, R.Monneau | Existence and uniqueness for a free boundary problem arising in combustion theory | go | |

L.Fusi | Some new results on the flow of waxy crude oils in a loop | go | |

Issue 4/1 (2002) | |||

L.Shanahan, B.Spencer | A codimension-two free boundary problem for the equilibrium shapes of a small three-dimensional island in an epitaxially strained solid film | go | |

L.Jiang | Analysis of pricing American options on the maximum (minimum) of two risk assets | go | |

O.Klein | Existence and approximation of solutions to an anisotropic phase field system for the kinetics of phase transitions | go | |

P.Belik, M.Luskin | A total-variation surface energy model for thin films of martensitic crystals | go | |

U.Mayer, G.Simonett | A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow | go | |

Issue 3/4 (2001) | |||

H.Berestycki, S.Kamin, G.Sivashinsky | Metastability in a flame front evolution equation | go | |

K.Deckelnick, C.Elliott, V.Styles | Numerical diffusion-induced grain boundary motion | go | |

G.Bellettini, M.Novaga, M.Paolini | Characterization of facet breaking for nonsmooth mean curvature flow in the convex case | go | |

J.Urbano, J.Videman | Unidirectional steady flow of a viscoelastic fluid with a free surface | go | |

D.Blömker, S.Maier-Paape, T.Wanner | Roughness in surface growth equations | go | |

Issue 3/3 (2001) | |||

D.Andreucci, A.Tedeev | Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity | go | |

M.Katsoulakis, A.Kho | Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments | go | |

P.Fife, J.Cahn, C.Elliott | A free-boundary model for diffusion-induced grain boundary motion | go | |

M.Fila, P.Souplet | Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem | go | |

R.Rosso | Asymptotic evolution of lipid vesicles | go | |

Issue 3/2 (2001) | |||

G.Weiss | An obstacle-problem-like equation with two phases: pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary | go | |

D.Hömberg, A.Khludnev, J.Sokolowski | Quasistationary problem for a cracked body with electrothermoconductivity | go | |

A.Friedman, B.Hu, J.Velazques | A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions | go | |

M.Beneš | Mathematical analysis of phase-field equations with numerically efficient coupling terms | go | |

P.Podio-Guidugli | Configurational balances via variational arguments | go | |

Issue 3/1 (2001) | |||

M.Hayouni, A.Henrot, N.Samouh | On the Bernoulli free boundary problem and related shape optimization problems | go | |

C.van Duijn, G.Galiano Casas, M.Peletier | A diffusion-convection problem with drainage arising in the ecology of mangroves | go | |

K.Ito, Y.Kohsaka | Three-phase boundary motion by surface diffusion: stability of a mirror symmetric stationary solution | go | |

M.Chipot | On the continuity of the free boundary in some class of two-dimensional problems | go | |

H.Garcke, M.Rumpf, U.Weikard | The Cahn-Hilliard equation with elasticity-finite element approximation and qualitative studies | go | |

Issue 2/4 (2000) | |||

K.Deckelnick, G.Dziuk | Error estimates for a semi-implicit fully discrete finite element scheme for the mean curvature flow of graphs | go | |

P.Rybka | On convergence of solutions of the crystalline Stefan problem with Gibbs-Thomson law and kinetic undercooling | go | |

J.Fernández Bonder, N.Wolanski | A free-boundary problem in combustion theory | go | |

S.Antontsev, A.Meirmanov, V.Yurinsky | A free-boundary problem for Stokes equations: classical solutions | go | |

V.Galaktionov, S.Shmarev, J.Vázquez | Behaviour of interfaces in a diffusion-absorption equation with critical exponents | go | |

G.Namah, J.Roquejoffre | The `hump' effect in solid propellant combustion | go | |

Issue 2/3 (2000) | |||

L.Ambrosio, P.Colli Franzone, G.Savaré | On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model | go | |

D.Hilhorst, E.Logak, R.Schätzle | Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model | go | |

I.Denisova | Evolution of compressible and incompressible fluids separated by a closed interface | go | |

M.Frankel, L.Gross, V.Roytburd | Thermo-kinetically controlled pattern selection | go | |

L.Caffarelli, J.Dolbeault, P.Markowich, C.Schmeiser | On Maxwellian equilibria of insulated semiconductors | go | |

Issue 2/2 (2000) | |||

K.Deckelnick | Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow | go | |

C.Elliott, V.Styles | Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices | go | |

A.Bonnet, R.Monneau | Distribution of vortices in a type-II superconductor as a free boundary problem: existence and regularity via Nash-Moser theory | go | |

P.Tilli | On a constrained variational problem with an arbitrary number of free boundaries | go | |

Issue 2/1 (2000) | |||

A.Fasano, A.Mancini | Existence and uniqueness of a classical solution for a mathematical model describing the isobaric crystallization of a polymer | go | |

H.Alt, C.van Duijn | A free boundary problem involving a cusp: breakthrough of salt water | go | |

I.Rao, K.Rajagopal | Phenomenological modelling of polymer crystallization using the notion of multiple natural configurations | go | |

E.Bänsch, A.Schmidt | Simulation of dendritic crystal growth with thermal convection | go | |

Issue 1/2 (1999) | |||

V.Solonnikov | On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop | go | |

H.Garcke, B.Stoth, B.Nestler | Anisotropy in multi-phase systems: a phase field approach | go | |

R.Dal Passo, L.Giacomelli, A.Novick-Cohen | Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility | go | |

A.Veeser | Error estimates for semi-discrete dendritic growth | go | |

Issue 1/1 (1999) | |||

P.Lions | Parallel algorithms for the solution of variational inequalities | go | |

R.Alicandro, A.Braides, J.Shah | Free-discontinuity problems via functionals involving the L1-norm of the gradient and their approximations | go | |

G.Bellettini, M.Novaga, M.Paolini | Facet-breaking for three-dimensional crystals evolving by mean curvature | go | |

S.Ei, R.Ikota, M.Mimura | Segregating partition problem in competition-diffusion systems | go | |

P.Cermelli, M.Gurtin, G.Leoni | Energies for incoherent films: an analytical approach | go | |

D.Chopp, J.Sethian | Motion by intrinsic Laplacian of curvature | go |