Weak and stationary solutions to a Cahn–Hilliard–Brinkman model with singular potentials and source terms

We study a phase field model proposed recently in the context of tumour growth. The model couples a Cahn–Hilliard–Brinkman (CHB) system with an elliptic reaction-diffusion equation for a nutrient. The fluid velocity, governed by the Brinkman law, is not solenoidal, as its divergence is a function of...

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Bibliographic Details
Main Authors: Ebenbeck Matthias, Lam Kei Fong
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0100