Motion by crystalline-like mean curvature: A survey | Bulletin of Mathematical Sciences World
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We prove that in the absence of topological changes, the notion of BV solutions to planar
multiphase mean curvature flow does not allow for a mechanism for (unphysical) non …

An existence and uniqueness result, up to fattening, for crystalline mean curvature flows with
forcing and arbitrary (convex) mobilities, is proven. This is achieved by introducing a new …

We consider the flat flow solution, obtained via a discrete minimizing movement scheme, to
the volume preserving mean curvature flow starting from C 1, 1-regular set. We prove the …

We introduce a new notion of viscosity solutions for the level set formulation of the motion by
crystalline mean curvature in three dimensions. The solutions satisfy the comparison …

We show that every bounded subset of a euclidean space can be approximated by a set that
admits a certain vector field, the so‐called Cahn‐Hoffman vector field, that is subordinate to …

The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the
anisotropic Allen–Cahn equation. We rely on distributional solution concepts for both the …

We introduce and study certain variants of Gamow's liquid drop model in which an
anisotropic surface energy replaces the perimeter. After existence and nonexistence results …

We consider here a fully discrete variant of the implicit variational scheme for mean
curvature flow [AlmTayWan, LucStu], in a setting where the flow is governed by a crystalline …

We study forced anisotropic curvature flow of droplets on an inhomogeneous horizontal
hyperplane. As in Bellettini and Kholmatov [J. Math. Pures Appl. 117 (2018), 1–58], we …