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arXiv · 2510.13283

An Allen-Cahn tumor growth model with temperature

Stefania Gatti·Erica Ipocoana·Alain Miranville
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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.

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Stefania Gatti, Erica Ipocoana, Alain Miranville. 2025-10-15. An Allen-Cahn tumor growth model with temperature. https://arxiv.org/abs/2510.13283

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