Global solutions and blow-up problems for a nonlinear degenerate parabolic system coupled via nonlocal sources

Abstract

This paper concerns with a nonlinear degenerate parabolic system coupled via nonlocal sources, subjecting to homogeneous Dirichlet boundary condition. The main aim of this paper is to study conditions on the global existence and/or blow-up in finite time of solutions, and give the estimates of blow-up rates of blow-up solutions. © 2006 Elsevier Inc. All rights reserved.