The Quenching Problem in the Nonlinear Heat Equations
偏微分方程分析
2007-05-23 v2 数学物理
math.MP
摘要
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.
关键词
引用
@article{arxiv.math/0612110,
title = {The Quenching Problem in the Nonlinear Heat Equations},
author = {Gang Zhou},
journal= {arXiv preprint arXiv:math/0612110},
year = {2007}
}
备注
33 Pages