Critical exponents for porous medium systems coupled via nonlinear boundary flux

被引:6
作者
Wang, Zejia [1 ]
Zhou, Qian [1 ]
Lou, Wenqi [1 ]
机构
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
关键词
Porous medium equation; Critical global existence curve; Critical Fujita curve; Nonlinear boundary flux; CRITICAL FUJITA EXPONENTS; PARABOLIC EQUATIONS; HEAT-EQUATIONS; THEOREMS;
D O I
10.1016/j.na.2009.01.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the porous medium equations for coupling via nonlinear boundary flux; we obtain the critical global existence curve and the critical Fujita curve for the problem, considered by constructing the self-similar supersolutions and subsolutions. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2134 / 2140
页数:7
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