An Existence Result to a Strongly Coupled Degenerated System Arising in Tumor Modeling. (11th November 2008)

• Record Type: Journal Article
• Authors: Hadjadj, L.; Hamdache, K.; Hamroun, D.
• Other Names: Kenmochi Nobuyuki Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2008(2008)
• Publication Date: 2008-11-11
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2008/239870
• Languages: English
• ISSNs: 1085-3375

Abstract

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 strongly2 × 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.