An Allen-Cahn tumor growth model with temperature
Analysis of PDEs
2025-10-16 v1
Abstract
In this paper, we propose a new non-isothermal Allen-Cahn (Ginzburg-Landau) model for tumor growth. After deriving it using a microforces approach, we study its well-posedness. In particular, we are able to prove the existence and uniqueness of a local and global-in-time solution to our PDE system.
Keywords
Cite
@article{arxiv.2510.13283,
title = {An Allen-Cahn tumor growth model with temperature},
author = {Stefania Gatti and Erica Ipocoana and Alain Miranville},
journal= {arXiv preprint arXiv:2510.13283},
year = {2025}
}