Blowup properties for nonlinear degenerate diffusion equations with nonlocal sources
β Scribed by Mei Li; Meixia Chen
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 568 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1468-1218
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β¦ Synopsis
This paper deals with degenerate diffusion equations with nonlocal sources. The local existence of a classical solution is given. By making use of super-and sub-solution method we show that the solution exists globally or blows up in finite time under some conditions. Furthermore, the blowup rates of the blowup solution are derived.
π SIMILAR VOLUMES
This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region.
In this paper, we investigate the blowup properties of the positive solutions to the following nonlocal degenerate parabolic equation with homogeneous Dirichlet boundary conditions in the interval (0, l), where 0 < Ξ± < 2, p 1 q 1 > m > 1. We first establish the local existence and uniqueness of its