Shrinking self-similar solutions of a nonlinear diffusion equation with nondivergence form

被引：6

作者：

Wang, CP ^{[1
]}

Yin, JX ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 289卷 / 02期

基金：

中国国家自然科学基金;

关键词：

self-similar solution; shrinking; existence; uniqueness; singularity;

D O I：

10.1016/j.jmaa.2003.08.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the shrinking self-similar solutions of the nonlinear diffusion equation with nondivergence form partial derivativeu/partial derivativet = u(m) Deltau (mgreater than or equal to1). This kind of solutions possess the properties of finite speed propagation of perturbations and their supports are shrinking. We establish the existence and uniqueness for this kind of solutions. In addition, we study some properties of the shrinking self-similar solutions. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：387 / 404

页数：18

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