Universality in Blow-Up for Nonlinear Heat Equations
chao-dyn
2009-10-22 v1 Condensed Matter
Chaotic Dynamics
Abstract
We consider the classical problem of the blowing-up of solutions of the nonlinear heat equation. We show that there exist infinitely many profiles around the blow-up point, and for each integer , we construct a set of codimension in the space of initial data giving rise to solutions that blow-up according to the given profile.
Cite
@article{arxiv.chao-dyn/9306007,
title = {Universality in Blow-Up for Nonlinear Heat Equations},
author = {J. Bricmont and A. Kupiainen},
journal= {arXiv preprint arXiv:chao-dyn/9306007},
year = {2009}
}
Comments
38 pages