Blow-up in reaction-diffusion systems under Robin boundary conditions
Analysis of PDEs
2015-09-10 v1
Abstract
In this paper we apply the differential inequality technique of Payne {\it et. al} \cite{Payne&SchaeferRobin08} to show that a reaction-diffusion system admits blow-up solutions, and to determine an upper bound for the blow-up time. For a particular nonlinearity, a lower bound on the blow-up time, when blow-up does occur, is also given.
Cite
@article{arxiv.1509.02719,
title = {Blow-up in reaction-diffusion systems under Robin boundary conditions},
author = {Li-Chang Hung},
journal= {arXiv preprint arXiv:1509.02719},
year = {2015}
}
Comments
11 pages