Global weak solutions and asymptotic limits of a Cahn–Hilliard–Darcy system modelling tumour growth

Global weak solutions and asymptotic limits of a Cahn–Hilliard–Darcy system modelling tumour growth

We study the existence of weak solutions to a Cahn-Hilliard-Darcy system coupled witha convection-reaction-diffusion equation through the fluxes, through the source terms and in Darcy’slaw. The system of equations arises from a mixture model for tumour growth accounting for transportmechanisms such...

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Bibliographic Details
Main Authors: Harald Garcke, Kei Fong Lam
Format: Article
Language:English
Published: AIMS Press 2016-10-01
Series:AIMS Mathematics
Subjects:
Cahn-Hilliard-Darcy system| phase field model| convection-reaction-diffusion equation| tumour growth| chemotaxis| weak solutions| asymptotic analysis
Online Access:http://www.aimspress.com/article/10.3934/Math.2016.3.318/fulltext.html

Internet

http://www.aimspress.com/article/10.3934/Math.2016.3.318/fulltext.html

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