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2008 An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling
L. Hadjadj, K. Hamdache, D. Hamroun
Abstr. Appl. Anal. 2008: 1-19 (2008). DOI: 10.1155/2008/239870

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.

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L. Hadjadj. K. Hamdache. D. Hamroun. "An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling." Abstr. Appl. Anal. 2008 1 - 19, 2008. https://doi.org/10.1155/2008/239870

Information

Published: 2008
First available in Project Euclid: 10 February 2009

zbMATH: 1173.34356
MathSciNet: MR2471253
Digital Object Identifier: 10.1155/2008/239870

Rights: Copyright © 2008 Hindawi

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