Periodic solutions to Kobayashi--Warren--Carter systems
Analysis of PDEs
2023-02-09 v2
Abstract
In this paper, a system of parabolic PDEs, called the Kobayashi--Warren--Carter system, is considered as a possible phase-field model of planar grain boundary motion. The Main Theorem is concerned with the existence of a time-periodic solution to the Kobayashi--Warren--Carter system, and the principal objective is to provide a proof without the use of a compromised assumption, which researchers have been forced to adopt in recent studies.
Keywords
Cite
@article{arxiv.2301.09841,
title = {Periodic solutions to Kobayashi--Warren--Carter systems},
author = {Shodai Kubota and Ken Shirakawa},
journal= {arXiv preprint arXiv:2301.09841},
year = {2023}
}