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An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling
Joint Authors
Hamroun, D.
Hamdache, K.
Hadjadj, L.
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-01-26
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hadjadj, L.& Hamdache, K.& Hamroun, D.. 2009. An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-456505
Modern Language Association (MLA)
Hadjadj, L.…[et al.]. An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling. Abstract and Applied Analysis No. 2008 (2008), pp.1-19.
https://search.emarefa.net/detail/BIM-456505
American Medical Association (AMA)
Hadjadj, L.& Hamdache, K.& Hamroun, D.. An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling. Abstract and Applied Analysis. 2009. Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-456505
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456505