Boundary Value Problems
Volume 2006 (2006), Article ID 21830, 19 pages
doi:10.1155/BVP/2006/21830

Blowup for degenerate and singular parabolic system with nonlocal source

Jun Zhou, Chunlai Mu, and Zhongping Li

Department of Mathematics, Sichuan University, Chengdu 610064, China

Received 23 January 2006; Revised 3 April 2006; Accepted 7 April 2006

Copyright © 2006 Jun Zhou 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.

Abstract

We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained. Furthermore, under certain conditions it is proved that the blowup set of the solution is the whole domain.