Calculus of Variations and Geometric Measure Theory

G. Bellettini - S. Kholmatov

Some aspects of anisotropic curvature flow of planar partitions

created by kholmatov2 on 26 Apr 2023



Inserted: 26 apr 2023
Last Updated: 26 apr 2023

Year: 2023


We consider the geometric evolution of a network in the plane, flowing by anisotropic curvature. We discuss local existence of a classical solution in the presence of several smooth anisotropies. Next, we discuss some aspects of the polycrystalline case.

Tags: GeMeThNES
Keywords: crystalline curvature, anisotropy, network, partition, triple junctions, curvature flow