An Allen-Cahn tumor growth model with temperature

Communications on Pure &amp Applied Analysis 2026 Open access

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Authors: Stefania Gatti, Erica Ipocoana, Alain Miranville
DOI: 10.3934/cpaa.2026043
Cited by: 0
References: 32

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.

Fields of Study & Subjects

Mathematical Biology Tumor Growth Solidification and crystal growth phenomena Cancer Cells and Metastasis

Publication details

Journal / source
Communications on Pure &amp Applied Analysis
Volume
33
Issue
0
Pages
45–67
Publication date
1 January 2026
Language
EN