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

共 50 条

[1] Critical curves for fast diffusion equations coupled via nonlinear boundary flux
Ling, Zhengqiu
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[2] Critical curves for fast diffusion equations coupled via nonlinear boundary flux
Zhengqiu Ling
Journal of Inequalities and Applications, 2015
[3] ON THE CRITICAL FUJITA EXPONENT FOR A DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
Zhou, Jun
Mu, Chunlai
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2008, 51 : 785 - 805
[4] CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
Mi, Yongsheng
Mu, Chunlai
Chen, Botao
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (03) : 513 - 527
[5] GLOBAL EXISTENCE AND NONEXISTENCE FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
陈波涛
米永生
穆春来
ActaMathematicaScientia, 2011, 31 (02) : 681 - 693
[6] Blowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
Zhongping Li
Chunlai Mu
Yuhuan Li
Boundary Value Problems, 2008
[7] Blow-up properties for a degenerate parabolic system coupled via nonlinear boundary flux
Si Xu
Boundary Value Problems, 2015
[8] Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux
Li, Zhongping
Mu, Chunlai
Cui, Zejian
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2009, 60 (02): : 284 - 298
[9] Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux
Zhongping Li
Chunlai Mu
Zejian Cui
Zeitschrift für angewandte Mathematik und Physik, 2009, 60 : 284 - 298
[10] Blow-up analysis in a quasilinear parabolic system coupled via nonlinear boundary flux
Zheng, Pan
Xu, Zhonghua
Gao, Zhangqin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (13) : 1 - 13

← 1 2 3 4 5 →