An existence result to a strongly coupled degenerated system arising in tumor modeling
type: Item
instance of: scholarly article
title: An existence result to a strongly coupled degenerated system arising in tumor modeling
zbMATH Open document ID: 1173.34356
DOI: 10.1155/2008/239870
published in: Abstract and Applied Analysis
publication date: 2009-03-30T00:00:00Z
full work available at URL: https://eudml.org/doc/55973
review text: 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.
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 92C99
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 5534784
zbMATH Keywords: global weak solution
zbMATH Keywords: finite entropy
Wikidata QID: Q58644300
author: Lila Hadjadj
author: Kamel Hamdache
author: D. Hamroun
MaRDI profile type: Publication
OpenAlex ID: W2003876334
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description: scientific article; zbMATH DE number 5534784