On volume-preserving crystalline mean curvature flow

Inwon Kim, Dohyun Kwon, Norbert Požár

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this work we consider the global existence of volume-preserving crystalline curvature flow in a non-convex setting. We show that a natural geometric property, associated with reflection symmetries of the Wulff shape, is preserved with the flow. Using this geometric property, we address global existence and regularity of the flow for smooth anisotropies. For the non-smooth case we establish global existence results for the types of anisotropies known to be globally well-posed.

Original languageEnglish
Pages (from-to)1-42
Number of pages42
JournalMathematische Annalen
Issue number1-2
StatePublished - Oct 2022


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