Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux

被引：6
|
作者：
Li, Zhongping [1 ,2 ]
Mu, Chunlai [1 ]
机构：
[1] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China
[2] China W Normal Univ, Coll Math & Informat, Nanchong 637002, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 04期
关键词：
Critical exponents; Blow-up; Blow-up rate; Nonlinear diffusion equation; Logarithmic boundary flux; POROUS-MEDIUM EQUATION; CRITICAL FUJITA EXPONENTS; LINEAR HEAT-EQUATIONS; PARABOLIC EQUATIONS; INSTABILITY; STABILITY; THEOREMS;
D O I：
10.1016/j.na.2010.04.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the critical global existence exponent and the critical Fujita exponent for the nonlinear diffusion equation u(t) = (log(sigma) (1 + u)u(x))(x), in R(+) x (0, +infinity), subject to a logarithmic boundary flux - log(sigma) (1 + u)u(x) (0, t) = (1 + u) log(p) (1 + u) (0, t), t is an element of (0, +infinity), furthermore give the blow-up rate for the nonglobal solutions. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：933 / 939
页数：7
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