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-391568
DOI to cite this document:: 10.5283/epub.39156

Garcke, Harald ; Lam, Kei Fong

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Date of publication of this fulltext: 20 Mar 2019 12:59

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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. ...