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AN ALLEN-CAHN TUMOR GROWTH MODEL WITH TEMPERATURE

delete2026-03-01
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PRE
AI
G
Gatti, Stefania
I
Ipocoana, Erica
M
Miranville, Alain *
DOI:10.3934/cpaa.2026043delete
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Abstract

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
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
IF:
0.9
Papers:
88
Citations:
0

Organization

U
università di modena e reggio emilia
Scholars:
506
Papers: 155
Citations: 0
F
free university of berlin
Scholars:
3.1K
Papers: 1.3K
Citations: 1
H
henan normal university
Scholars:
1.1W
Papers: 6.1K
Citations: 6
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