Blow-up analysis in degenerate parabolic systems coupled via norm-type reactions

被引：3

作者：

Liu, Bingchen ^{[1
]}

Zhang, Changcheng ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao City 266580, Shandong, Peoples R China

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 03期

关键词：

degenerate parabolic systems; critical blow-up exponents; uniform blow-up profile; 35K65; 35K61; 35B33; 35B40; GLOBAL EXISTENCE; DIFFUSION-EQUATIONS; BEHAVIOR;

D O I：

10.1080/00036811.2015.1026810

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a class of degenerate parabolic equations coupled via nonlinear reactions in L-p-norm type, subject to null Dirichlet boundary conditions. Firstly, we give the existence and uniqueness of local classical solutions and the comparison principle. Secondly, we determine the critical exponents for the blow-up solutions. Thirdly, all of the uniform blow-up profiles are obtained for simultaneous blow-up solutions.

引用

页码：668 / 689

页数：22

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