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

页码：933 / 939

页数：7

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