Graphical translators for anisotropic and crystalline mean curvature flow

Annalisa Cesaroni; Heiko Kroener; Matteo Novaga

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arXiv · 2107.12082

Graphical translators for anisotropic and crystalline mean curvature flow

Annalisa Cesaroni·Heiko Kroener·Matteo Novaga

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Abstract

In this paper we discuss existence, uniqueness and some properties of a class of solitons to the anisotropic mean curvature flow, i.e., graphical translators, either in the plane or under an assumption of cylindrical symmetry on the anisotropy and the mobility. In these cases, the equation becomes an ordinary differential equation, and this allows to find explicitly the translators and describe their main features.

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Annalisa Cesaroni, Heiko Kroener, Matteo Novaga. 2021-07-26. Graphical translators for anisotropic and crystalline mean curvature flow. https://arxiv.org/abs/2107.12082

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