A NonlinearD iffusion System withC oupled Nonlinear Boundary Flux

被引：0

作者：

Wang Jinhuan ^{[1
]}

Tian Miaoqing ^{[2
]}

Hong Liang ^{[3
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

[2] Sias Int Univ Zhengzhou, Basic Sci Dept, Zhengzhou 451150, Henan, Peoples R China

[3] Liaoning Univ, Dept Math, Shenyang 110036, Liaoning, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 22卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Critical exponents; nonlinear diffusion; inner absorptions; nonlinear boundary flux; blow-up; global solutions; characteristic algebraic system;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a nonlinear diffusion system with coupled nonlinear boundary flux and two kinds of inner sources (positive for the first and negative for the second), where the four nonlinear mechanisms are described by eight nonlinear parameters. The critical exponent of the system is determined by a complete classification of the eight nonlinear parameters, which is represented via the characteristic algebraic system introduced to the problem.

引用

页码：11 / 31

页数：21

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