An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling

L. Hadjadj, K. Hamdache and D. Hamroun

Abstract and Applied Analysis, 2008, vol. 2008, 1-19

Abstract:

We consider a mathematical model to describe the growth of a vascular tumor including tumor cells, macrophages, and blood vessels. The resulting system of equations is reduced to a strongly 2 × 2 coupled nonlinear parabolic system of degenerate type. Assuming the initial data are far enough from 0, we prove existence of a global weak solution with finite entropy to the problem by using an approximation procedure and a time discrete scheme.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:239870

DOI: 10.1155/2008/239870

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