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

作者：Hadjadj L; Hamdache K; Hamroun D^*

来源：Abstract and Applied Analysis, 2008, 239870.

DOI：10.1155/2008/239870

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 x 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.
Copyright (C) 2008 L. Hadjadj et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

• 出版日期2008