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AN ALLEN-CAHN TUMOR GROWTH MODEL WITH TEMPERATURE
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DOI:10.3934/cpaa.2026043.png)
Abstract
En 中文
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.
Keywords:
Allen-Cahn
phase-field
tumor growth
partial differential equations
diffuse interface
Journal
C
IF:
0.9
Papers:
88
Citations:
0
