Neumann problem for reaction–diffusion systems with nonlocal nonlinear sources

This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region.

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Bibliographic Details
Published inNonlinear analysis Vol. 61; no. 7; pp. 1209 - 1224
Main Authors Xiang, Zhaoyin, Hu, Xuegang, Mu, Chunlai
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 15.06.2005
Elsevier
Subjects
Blow-up estimates
Diffusion system
Exact sciences and technology
Global existence and blowup
Mathematical analysis
Mathematics
Nonlocal source
Partial differential equations
Sciences and techniques of general use
35K50
Blow-up estimates
35K60
Nonlocal source
Global existence and blowup
Diffusion system
Neumann problem
Nonlinear analysis
35K60 Diffusion system
Reaction-diffusion systems
Non local theory
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Summary:This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2005.01.098