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Analysis of Cahn‐Hilliard‐Brinkman models for tumour growth
Author(s) -
Ebenbeck Matthias,
Garcke Harald
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900021
Subject(s) - boundary (topology) , outflow , cahn–hilliard equation , growth model , order (exchange) , mathematics , physics , mathematical analysis , economics , mathematical economics , partial differential equation , finance , meteorology
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.