DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chung, Jay-Wan | ko |
dc.contributor.author | Kim, Eugenia | ko |
dc.contributor.author | Kim, Yong-Jung | ko |
dc.date.accessioned | 2013-03-11T05:40:53Z | - |
dc.date.available | 2013-03-11T05:40:53Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-05 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.248, no.10, pp.2417 - 2434 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98409 | - |
dc.description.abstract | The purpose of this paper is to investigate the relation between the moments and the asymptotic behavior of solutions to the Burgers equation. The Burgers equation is a special nonlinear problem that turns into a linear one after the Cole-Hopf transformation. Our asymptotic analysis depends on this transformation. In this paper an asymptotic approximate solution is constructed, which is given by the inverse Cole-Hopf transformation of a summation of n heat kernels. The k-th order moments of the exact and the approximate solution are contracting with order O((root t)(k-2n-1+1/p)) in L(p)-norm as t -> infinity. This asymptotics indicates that the convergence order is increased by a similarity scale whenever the order of controlled moments is increased by one. The theoretical asymptotic convergence orders are tested numerically. (C) 2010 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | DIFFUSION EQUATION | - |
dc.subject | CONSERVATION-LAWS | - |
dc.subject | TIME BEHAVIOR | - |
dc.subject | CONVERGENCE | - |
dc.subject | WAVES | - |
dc.subject | RATES | - |
dc.title | Asymptotic agreement of moments and higher order contraction in the Burgers equation | - |
dc.type | Article | - |
dc.identifier.wosid | 000276127500001 | - |
dc.identifier.scopusid | 2-s2.0-77249170183 | - |
dc.type.rims | ART | - |
dc.citation.volume | 248 | - |
dc.citation.issue | 10 | - |
dc.citation.beginningpage | 2417 | - |
dc.citation.endingpage | 2434 | - |
dc.citation.publicationname | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.1016/j.jde.2010.01.006 | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Kim, Yong-Jung | - |
dc.contributor.nonIdAuthor | Kim, Eugenia | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Truncated moment problem | - |
dc.subject.keywordAuthor | Heat equation | - |
dc.subject.keywordAuthor | Burgers equation | - |
dc.subject.keywordAuthor | Long-time asymptotics | - |
dc.subject.keywordAuthor | Complex Gaussian | - |
dc.subject.keywordAuthor | Cole-Hopf transformation backward moment | - |
dc.subject.keywordPlus | DIFFUSION EQUATION | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
dc.subject.keywordPlus | TIME BEHAVIOR | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordPlus | WAVES | - |
dc.subject.keywordPlus | RATES | - |
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