Compacton formation under Allen--Cahn dynamics
Pattern Formation and Solitons
2017-03-03 v1 Mathematical Physics
math.MP
Abstract
We study the solutions of a generalized Allen-Cahn equation deduced from a Landau energy functional, endowed with a non-constant higher order stiffness. We analytically solve the stationary problem and deduce the existence of so-called compactons, namely, connections on a finite interval between the two phases. The dynamics problem is numerically solved and compacton formation is described.
Keywords
Cite
@article{arxiv.1602.08445,
title = {Compacton formation under Allen--Cahn dynamics},
author = {Emilio N. M. Cirillo and Nicoletta Ianiro and Giulio Sciarra},
journal= {arXiv preprint arXiv:1602.08445},
year = {2017}
}