Crystalline Evolutions in Chessboard-like Microstructures

Abstract

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.

arXiv comment17 pages, 10 figures. arXiv admin note: text overlap with arXiv:1707.03342