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

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  • L. Hadjadj
  • K. Hamdache
  • D. Hamroun

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.

Suggested Citation

  • L. Hadjadj & K. Hamdache & D. Hamroun, 2008. "An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-19, January.
    • Handle: RePEc:hin:jnlaaa:239870
    DOI: 10.1155/2008/239870
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