Calculus of Variations and Geometric Measure Theory

A. Malusa - M. Novaga

Crystalline evolutions in chessboard-like microstructures

created by novaga on 16 Oct 2017
modified on 17 Aug 2018


Published Paper

Inserted: 16 oct 2017
Last Updated: 17 aug 2018

Journal: Networks and Heterogeneous Media
Volume: 13
Number: 3
Pages: 493-513
Year: 2018


We describe the macroscopic behavior of evolutions by crystalline curvature of planar sets in a chessboard-like medium, modeled by a periodic forcing term. We show that the underlying microstructure may produce both pinning and confinement effects on the geometric motion.