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.
An Allen-Cahn tumor growth model with temperature / Gatti, S., Ipocoana, E., Miranville, A.. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 33:0(2026), pp. 45-67. [10.3934/cpaa.2026043]
An Allen-Cahn tumor growth model with temperature
Gatti, Stefania;Ipocoana, Erica;Miranville, Alain
2026
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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