Fujita Critical Curve for a Coupled Diffusion System with Inhomogeneous Neumann Boundary Conditions

In this paper, we establish the blow-up theorems of Fujita type for a class of exterior problems of nonlinear diffusion equations subject to inhomogeneous Neumann boundary conditions. The critical Fujita exponents are determined and it is shown that the critical curve belongs to the blow-up case und...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 21; no. 2; pp. 260 - 269
Main Authors Du, Runmei, Guo, Minghao
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.03.2016
Vilnius Gediminas Technical University
Subjects
blow-up
Boundary conditions
Boundary value problems
Curves (Geometry)
Diffusion
diffusion equations
Exponents
Exteriors
Fujita critical curve
global existence
Heat equation
inhomogeneous term
Joining
Mathematical analysis
Mathematical models
Mathematical research
Nonlinearity
inhomogeneous term
Fujita critical curve
global existence
diffusion equations
blow-up
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Summary:In this paper, we establish the blow-up theorems of Fujita type for a class of exterior problems of nonlinear diffusion equations subject to inhomogeneous Neumann boundary conditions. The critical Fujita exponents are determined and it is shown that the critical curve belongs to the blow-up case under any nontrivial initial data.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2016.1150904