On Blow-up of A Reaction Diffusion System Coupled in Both Equations and Boundary Conditions
Analysis of PDEs
2016-11-26 v1
Abstract
We study the blow up solutions of a semilinear reaction diffusion system coupled in both equations and boundary conditions. The main purpose is to understand how the reaction terms and the absorption terms affect the blow-up properties. We derive the lower and upper bound for the blow-up rate, and find the blow-up set under certain assumptions.
Cite
@article{arxiv.1211.6499,
title = {On Blow-up of A Reaction Diffusion System Coupled in Both Equations and Boundary Conditions},
author = {Maan A. Rasheed and Miroslav Chlebik},
journal= {arXiv preprint arXiv:1211.6499},
year = {2016}
}
Comments
11 pages