The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

behaves as t→T like a nontrivial self-similar profile.

The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition

Authors:	Zhiwen Duan

Affiliation:	^aDepartment of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China

Abstract:	In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function v(y,t)=(T−t)^{1/(2p+α−2)}u((T−t)^{(p−1)/(2p+α−2)}y,t),

Keywords:	Quasilinear heat equation Nonlinear boundary condition Lyapunov function Asymptotic self-similar behavior
本文献已被 ScienceDirect 等数据库收录！