A nonlinear diffusion system coupled via nonlinear boundary flux

被引：0

作者：

Mi, Yongsheng ^{[1
,2
]}

Mu, Chunlai ^{[1
]}

Chen, Botao ^{[2
]}

机构：

[1] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China

[2] Yangtze Normal Univ, Coll Math & Comp Sci, Chongqing 408100, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 376卷 / 02期

关键词：

Global existence curve; Nonlinear diffusion system; M-matrix; Nonlinear boundary flux; Blow-up; CRITICAL FUJITA EXPONENTS; POLYTROPIC FILTRATION EQUATION; DEGENERATE PARABOLIC-SYSTEM; HEAT-EQUATIONS; CRITICAL CURVES; COMPONENTS; THEOREMS;

D O I：

10.1016/j.jmaa.2010.10.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the global existence and nonexistence of solutions to a nonlinear diffusion system coupled via nonlinear boundary flux. By constructing various kinds of sub- and super-solutions and using the basic properties of M-matrix, we give the necessary and sufficient conditions for global existence of nonnegative solutions. The critical curve of Fujita type is conjectured with the aid of some new results, which extend the recent results of Wang et al. [Nonlinear Anal. 71 (2009) 2134-2140] and Li et al. U. Math. Anal. Appl. 340 (2008) 876-883] to more general equations. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：613 / 624

页数：12

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