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.
Chambolle A, Novaga M, Ruffini B (2017). Some results on anisotropic fractional mean curvature flows. INTERFACES AND FREE BOUNDARIES, 19, 393-415 [10.4171/IFB/387].
Some results on anisotropic fractional mean curvature flows
Ruffini B
2017
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.File in questo prodotto:
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