Uniform blow-up rate for a porous medium equation with a weighted localized source

被引：1

作者：

Zeng, Weili ^{[2
]}

Lu, Xiaobo ^{[1
]}

Liu, Qilin ^{[3
]}

机构：

[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China

[2] Southeast Univ, Sch Transportat, Nanjing 210096, Jiangsu, Peoples R China

[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

基金：

中国国家自然科学基金; 国家科技攻关计划;

关键词：

porous medium equation; localized source; blow up; uniform blow up rate; PARABOLIC EQUATION; DIFFUSION-EQUATIONS; ASYMPTOTIC ANALYSIS; POSITIVE SOLUTIONS; BOUNDEDNESS; BEHAVIOR;

D O I：

10.1186/1687-2770-2011-57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate the Dirichlet problem for a porous medium equation with a more complicated source term. In some cases, we prove that the solutions have global blow-up and the rate of blow-up is uniform in all compact subsets of the domain. Moreover, in each case, the blow-up rate of |u(t)|(infinity) is precisely determined.

引用

页数：10

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