Critical Fujita exponents for a class of nonlinear convection-diffusion equations

被引：5

作者：

Guo, Wei ^{[2
,3
]}

Wang, Zejia ^{[1
]}

Du, Runmei ^{[2
]}

Wen, Lishu ^{[4
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

[3] Beihua Univ, Sch Math, Jilin 132013, Jilin, Peoples R China

[4] Neusoft Inst Informat, Gen Educ Dept, Dalian 116023, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 07期

关键词：

critical Fujita exponent; convection-diffusion equation; exterior problem; LINEAR PARABOLIC EQUATIONS; SEMILINEAR HEAT-EQUATION; NEUMANN BOUNDARY DATA; BLOW-UP; EXTERIOR DOMAINS; GLOBAL-SOLUTIONS; WAVE-EQUATIONS; DEGENERATE; NONEXISTENCE; EXISTENCE;

D O I：

10.1002/mma.1406

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the blow-up theorems of Fujita type for a class of homogeneous Neumann exterior problems of quasilinear convection-diffusion equations. The critical Fujita exponents are determined and it is shown that the exponents belong to the blow-up case under any nontrivial initial data. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：839 / 849

页数：11

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