Abstract and Applied Analysis

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

L. Hadjadj, K. Hamdache, and D. Hamroun

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 239870, 19 pages.

Dates
First available in Project Euclid: 10 February 2009

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1234299004

Digital Object Identifier
doi:10.1155/2008/239870

Mathematical Reviews number (MathSciNet)
MR2471253

Zentralblatt MATH identifier
1173.34356

Citation

Hadjadj, L.; Hamdache, K.; Hamroun, D. An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling. Abstr. Appl. Anal. 2008 (2008), Article ID 239870, 19 pages. doi:10.1155/2008/239870. https://projecteuclid.org/euclid.aaa/1234299004


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