Incomplete self-similar blow-up in a semilinear fourth-order reaction-diffusion equation
Analysis of PDEs
2009-02-09 v1
Abstract
It is shown that self-similar blow-up for a fourth-order reaction-diffusion equation is incomplete in the sense that, in general, there exists a self-similar extension of solutions after blow-up. Other types of complete blow-up of non self-similar form are discussed.
Keywords
Cite
@article{arxiv.0902.1090,
title = {Incomplete self-similar blow-up in a semilinear fourth-order reaction-diffusion equation},
author = {V. A. Galaktionov},
journal= {arXiv preprint arXiv:0902.1090},
year = {2009}
}
Comments
28 pages, 16 figures