An existence result to a strongly coupled degenerated system arising in tumor modeling (Q1008563)
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scientific article; zbMATH DE number 5534784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An existence result to a strongly coupled degenerated system arising in tumor modeling |
scientific article; zbMATH DE number 5534784 |
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An existence result to a strongly coupled degenerated system arising in tumor modeling (English)
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30 March 2009
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Summary: 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 \(2\times 2\) coupled nonlinear parabolic system of degenerate type. Assuming the initial data are far enough from zero, 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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global weak solution
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finite entropy
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