English

Some results on anisotropic fractional mean curvature flows

Numerical Analysis 2016-03-24 v1 Analysis of PDEs

Abstract

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.

Keywords

Cite

@article{arxiv.1603.07239,
  title  = {Some results on anisotropic fractional mean curvature flows},
  author = {Antonin Chambolle and Matteo Novaga and Berardo Ruffini},
  journal= {arXiv preprint arXiv:1603.07239},
  year   = {2016}
}