Regional, single point, and global blow-up for the fourth-order porous medium type equation with source
Analysis of PDEs
2009-01-28 v1
Abstract
Three types of blow-up for a fourth-order degenerate reaction-diffusion equation are studied by a combination of analytic and numerical methods. At the critical values of parameters, there occurs a variational problem with a countable set of solutions obtained by Lysternik--Shnirelman category theory, which then are extended to neighbouring values of parameters by a homotopy-like approach.
Keywords
Cite
@article{arxiv.0901.4279,
title = {Regional, single point, and global blow-up for the fourth-order porous medium type equation with source},
author = {V. A. Galaktionov},
journal= {arXiv preprint arXiv:0901.4279},
year = {2009}
}
Comments
39 pages, 28 figures