Blow-up profiles of solutions for the exponential reaction-diffusion equation
Analysis of PDEs
2015-05-27 v1
Abstract
We consider the blow-up of solutions for a semilinear reaction diffusion equation with exponential reaction term. It is know that certain solutions that can be continued beyond the blow-up time possess a nonconstant selfsimilar blow-up profile. Our aim is to find the final time blow-up profile for such solutions. The proof is based on general ideas using semigroup estimates. The same approach works also for the power nonlinearity.
Keywords
Cite
@article{arxiv.1102.4158,
title = {Blow-up profiles of solutions for the exponential reaction-diffusion equation},
author = {Aappo Pulkkinen},
journal= {arXiv preprint arXiv:1102.4158},
year = {2015}
}