The Quenching Problem in the Nonlinear Heat Equations
Analysis of PDEs
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
In this paper we study the quenching problem in nonlinear heat equations with power nonlinearities. For nonlinearities of power p<0 and for an open set of slowly varying initial conditions we prove that the solutions will collapse in a finite time. We find the collapse profile and estimate the remainder.
Keywords
Cite
@article{arxiv.math/0612110,
title = {The Quenching Problem in the Nonlinear Heat Equations},
author = {Gang Zhou},
journal= {arXiv preprint arXiv:math/0612110},
year = {2007}
}
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33 Pages