An existence result to a strongly coupled degenerated system arising in tumor modeling (Q1008563)

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.