- journal article metadata
European Mathematical Society Publishing House
2017-10-13 23:40:01
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
19
2017
3
Some results on anisotropic fractional mean curvature flows
Antonin
Chambolle
Ecole Polytechnique, Palaiseau, France
Matteo
Novaga
Università di Pisa, Italy
Berardo
Ruffini
Université de Montpellier, France
Fractional mean curvature flow, convexity, variational scheme
We show the consistency of a threshold dynamics type algorithm for the anisotropic motion by fractional mean curvature, in the presence of a time dependent forcing term. Beside the consistency result, we show that convex sets remain convex during the evolution, and the evolution of a bounded convex set is uniquely defined.
Differential geometry
Ordinary differential equations
393
415
10.4171/IFB/387
http://www.ems-ph.org/doi/10.4171/IFB/387