Simultaneous and non-simultaneous quenching for coupled parabolic system

In this paper, we study the quenching phenomena for a one-dimensional parabolic system coupled by non-linear boundary flux. First, we identify simultaneous and non-simultaneous quenching, then establish four kinds of simultaneous quenching rates, which are represented via the characteristic algebrai...

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Bibliographic Details
Published inApplicable analysis Vol. 94; no. 2; pp. 233 - 250
Main Authors Ji, Rui Hong, Qu, Cheng Yuan, Wang, Li Dong
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.02.2015
Taylor & Francis Ltd
Subjects
Algebra
Boundaries
characteristic algebraic system
Classification
Flux
Joining
non-simultaneous quenching
Nonlinearity
Parabolas
Primary 35K55
Quenching
quenching rate
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Summary:In this paper, we study the quenching phenomena for a one-dimensional parabolic system coupled by non-linear boundary flux. First, we identify simultaneous and non-simultaneous quenching, then establish four kinds of simultaneous quenching rates, which are represented via the characteristic algebraic system. A precise classification of parameters is given for the multiple simultaneous quenching rates. For example, we distinguish between two kinds of subcases, with or without particular requirements on initial data, realizing a common simultaneous quenching rate. On the other hand, it is interesting to find that there are two simultaneous quenching rates which share a common subregion of parameters, determined by the initial data assumed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2014.887694