Blow-up phenomena for some nonlinear parabolic problems

We consider the blow-up of solutions of equations of the form u t = div ( ρ ( | ∇ u | 2 )  grad  u ) + f ( u ) by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-...

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Bibliographic Details
Published inNonlinear analysis Vol. 69; no. 10; pp. 3495 - 3502
Main Authors Payne, L.E., Philippin, G.A., Schaefer, P.W.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 15.11.2008
Elsevier
Subjects
Blow-up
Bounds on blow-up time
Exact sciences and technology
Mathematical analysis
Mathematics
Parabolic problems
Sciences and techniques of general use
Parabolic problems
35K60
Bounds on blow-up time
35K55
Blow-up
Parabolic equation
Nonlinear analysis
Nonlinear problems
Mathematical model
Partial differential equation
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Summary:We consider the blow-up of solutions of equations of the form u t = div ( ρ ( | ∇ u | 2 )  grad  u ) + f ( u ) by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-up cannot occur.
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.2007.09.035