Ebenbeck, Matthias and Garcke, Harald (2019) Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis. JOURNAL OF DIFFERENTIAL EQUATIONS, 266 (9). pp. 5998-6036. ISSN 0022-0396, 1090-2732
Full text not available from this repository. (Request a copy)Abstract
Phase field models recently gained a lot of interest in the context of tumour growth models. Typically Darcy-type flow models are coupled to Cahn-Hilliard equations. However, often Stokes or Brinkman flows are more appropriate flow models. We introduce and mathematically analyse a new Cahn-Hilliard-Brinkman model for tumour growth allowing for chemotaxis. Outflow boundary conditions are considered in order not to influence tumour growth by artificial boundary conditions. Existence of global-in-time weak solutions is shown in a very general setting. (C) 2018 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONLINEAR SIMULATION; WELL-POSEDNESS; DARCY SYSTEM; VISCOSITY; INVASION; Tumour growth; Cahn-Hilliard equation; Brinkman's law; Chemotaxis; Stokes flow; Outflow conditions |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Apr 2020 08:22 |
| Last Modified: | 15 Apr 2020 08:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27171 |
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