Calculus of Variations and Geometric Measure Theory

A. Braides - A. Malusa - M. Novaga

Crystalline evolutions with rapidly oscillating forcing terms

created by malusa on 11 Jul 2017
modified by braidesa on 11 Jul 2020


Published Paper

Inserted: 11 jul 2017
Last Updated: 11 jul 2020

Journal: Ann. Scuola Normale Sup.Pisa
Volume: XX
Number: 1
Pages: 143-175
Year: 2020

ArXiv: 1707.03342 PDF


We consider the evolution by crystalline curvature of a planar set in a stratified medium, modeled by a periodic forcing term. We characterize the limit evolution law as the period of the oscillations tends to zero. Even if the model is very simple, the limit evolution problem is quite rich, and we discuss some properties such as uniqueness, comparison principle and pinning-depinning phenomena.