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

URN to cite this document:
urn:nbn:de:bvb:355-epub-330707
DOI to cite this document:
10.5283/epub.33070
Garcke, Harald ; Lam, Kei Fong
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Date of publication of this fulltext: 16 Dec 2015 11:11



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 ...

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