Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502703 | Journal of Mathematical Analysis and Applications | 2005 | 20 Pages |
Abstract
This paper deals with a reaction-diffusion system with coupled nonlinear inner sources and a nonlinear boundary flux. Blow-up rates are determined for four different blow-up situations. The so-called characteristic algebraic system is introduced to get a very simple and clear description for the desired blow-up rate estimates. It is pointed out that one cannot directly use super and sub-solutions to establish blow-up rate estimates, since they do not share the same blow-up time in general.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sining Zheng, Bingchen Liu, Fengjie Li,