An Allen-Cahn tumor growth model with temperature
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915555738386432 |
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| author | Gatti, Stefania Ipocoana, Erica Miranville, Alain |
| author_facet | Gatti, Stefania Ipocoana, Erica Miranville, Alain |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13283 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Allen-Cahn tumor growth model with temperature Gatti, Stefania Ipocoana, Erica Miranville, Alain Analysis of PDEs 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. |
| title | An Allen-Cahn tumor growth model with temperature |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.13283 |