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

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.