English

Crystalline Evolutions in Chessboard-like Microstructures

Analysis of PDEs 2019-07-25 v2

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.

Cite

@article{arxiv.1710.06775,
  title  = {Crystalline Evolutions in Chessboard-like Microstructures},
  author = {Annalisa Malusa and Matteo Novaga},
  journal= {arXiv preprint arXiv:1710.06775},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-22T22:18:17.390Z