Gatti, Stefania and Ipocoana, Erica and Miranville, Alain (2025) An Allen-Cahn tumor growth model with temperature. Preprint arXiv . (Unpublished)
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Official URL: https://doi.org/10.48550/arXiv.2510.13283
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.
| Item Type: | Article |
|---|---|
| Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |
| Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |
| ID Code: | 3298 |
| Deposited By: | Lukas-Maximilian Jaeger |
| Deposited On: | 27 Nov 2025 11:24 |
| Last Modified: | 27 Nov 2025 11:24 |
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