International audienceWe 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
International audienceWe consider a variational scheme for the anisotropic (including crystalline) m...
We prove existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature fl...
We give a simple proof of convergence of the anisotropic variant of a well-known algorithm for mean ...
International audienceWe show the consistency of a threshold dynamics type algorithm for the anisotr...
We consider nonlocal curvature functionals associated with positive interaction kernels, and we show...
We prove that the volume preserving fractional mean curvature flow starting from a convex set does n...
In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a...
We introduce a notion of uniform convergence for local and nonlocal curvatures. Then, we propose an ...
We consider the volume-preserving geometric evolution of the boundary of a set under fractional mean...
An existence and uniqueness result, up to fattening, for crystalline mean curvature flows with forci...
In this paper we address anisotropic and inhomogeneous mean curvature flows with forcing and mobilit...
This paper concerns convex hypersurfaces in Euclidean space evolving by anisotropic analogues of the...
International audienceWe consider a variational scheme for the anisotropic (including crystalline) m...
We prove existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature fl...
We give a simple proof of convergence of the anisotropic variant of a well-known algorithm for mean ...
International audienceWe show the consistency of a threshold dynamics type algorithm for the anisotr...
We consider nonlocal curvature functionals associated with positive interaction kernels, and we show...
We prove that the volume preserving fractional mean curvature flow starting from a convex set does n...
In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a...
We introduce a notion of uniform convergence for local and nonlocal curvatures. Then, we propose an ...
We consider the volume-preserving geometric evolution of the boundary of a set under fractional mean...
An existence and uniqueness result, up to fattening, for crystalline mean curvature flows with forci...
In this paper we address anisotropic and inhomogeneous mean curvature flows with forcing and mobilit...
This paper concerns convex hypersurfaces in Euclidean space evolving by anisotropic analogues of the...
International audienceWe consider a variational scheme for the anisotropic (including crystalline) m...
We prove existence and uniqueness of weak solutions to anisotropic and crystalline mean curvature fl...
We give a simple proof of convergence of the anisotropic variant of a well-known algorithm for mean ...