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Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport

GARCKE, HARALD and LAM, KEI FONG (2017) Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport. European Journal of Applied Mathematics 28 (02), pp. 284-316.

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Other URL: http://doi.org/10.1017/S0956792516000292


Abstract

We consider a diffuse interface model for tumour growth consisting of a Cahn-Hilliard equation with source terms coupled to a reaction-diffusion equation. The coupled system of partial differential equations models a tumour growing in the presence of a nutrient species and surrounded by healthy tissue. The model also takes into account transport mechanisms such as chemotaxis and active transport. ...

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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Harald Garcke
Identification Number:
ValueType
10.1017/S0956792516000292DOI
Keywords:DIFFUSE INTERFACE MODEL; LONG-TIME BEHAVIOR; HELE-SHAW CELL; MIXTURE MODEL; RECONNECTION; SIMULATION; PINCHOFF; Tumour growth; phase field model; Cahn-Hilliard equation; reaction-diffusion equations; chemotaxis; weak solutions; well-posedness
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39156
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