The evolving surface Cahn-Hilliard equation with a degenerate mobility
Analysis of PDEs
2025-08-04 v3
Abstract
We consider the existence of suitable weak solutions to the Cahn-Hilliard equation with a non-constant (degenerate) mobility on a class of evolving surfaces. We also show weak-strong uniqueness for the case of a positive mobility function, and under some further assumptions on the initial data we show uniqueness for a class of strong solutions for a degenerate mobility function.
Cite
@article{arxiv.2410.24147,
title = {The evolving surface Cahn-Hilliard equation with a degenerate mobility},
author = {Charles M. Elliott and Thomas Sales},
journal= {arXiv preprint arXiv:2410.24147},
year = {2025}
}
Comments
35 pages, further corrections including revised appendix