Self-similar blow-up in parabolic equations of Monge--Amp\`ere type
Analysis of PDEs
2009-06-24 v1
Abstract
We propose nonlinear parabolic equations of Monge--Amp\'ere (M--A) type that admit regional, single poin, and global blow-up of similarity type. A similar model is derived for a fourth-order M--A flow.
Keywords
Cite
@article{arxiv.0906.4233,
title = {Self-similar blow-up in parabolic equations of Monge--Amp\`ere type},
author = {C. R. Budd and V. A. Galaktionov},
journal= {arXiv preprint arXiv:0906.4233},
year = {2009}
}
Comments
43 pages, 23 figures