Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634124 | Applied Mathematics and Computation | 2008 | 9 Pages |
Abstract
This paper deals with the blow-up properties of the solution to degenerate and singular parabolic system with localized sources and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution exists globally and blows up in finite time are obtained. Furthermore, under certain conditions, it is proved that the blow-up set of the solution is the whole domain.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Juan Li, Zejian Cui, Chunlai Mu,