𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Blowup properties for nonlinear degenerate diffusion equations with nonlocal sources

✍ Scribed by Mei Li; Meixia Chen


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
568 KB
Volume
11
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Neumann problem for reaction–diffusion s
✍ Zhaoyin Xiang; Xuegang Hu; Chunlai Mu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 218 KB

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.

Blow-up for a degenerate parabolic equat
✍ Qilin Liu; Youpeng Chen; Chunhong Xie πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 156 KB

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