On a Cahn-Hilliard type phase field system related to tumor growth

2014/01/23 by Colli, Pierluigi, Gilardi, Gianni, Hilhorst, Danielle · 2 citations
#35B20 #35K20 #35K35 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1401.5943

Abstract

The paper deals with a phase field system of Cahn-Hilliard type. For positive viscosity coefficients, the authors prove an existence and uniqueness result and study the long time behavior of the solution by assuming the nonlinearities to be rather general. In a more restricted setting, the limit as the viscosity coefficients tend to zero is investigated as well.

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• On the hyperbolic relaxation of the chemical potential in a phase field tumor growth model

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