DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong Jung | ko |
dc.date.accessioned | 2013-03-03T15:27:48Z | - |
dc.date.available | 2013-03-03T15:27:48Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2004-05 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.199, no.2, pp.269 - 289 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10203/79239 | - |
dc.description.abstract | In this article we propose an Oleinik-type estimate for sign-changing solutions to a convection-diffusion equation u(t) + (\u\(gamma)/gamma)(x) = muu(xx), u(x,0) = u(0)(x), u,xepsilonR, 1<gammaless than or equal to2, u,t>0. Since the Oleinik entropy inequality holds for nonnegative solutions or inviscid case (mu = 0) only, the theoretical progress for the case was limited. In this paper we show that its solution satisfies an Oleinik-type estimate, t(2/gamma)u(x)less than or equal toC, 1<gammaless than or equal to2, t>0, where C = C(u(0), gamma) > 0. Using this estimate, the convergence to an N-wave is proved for sign changing solutions and the theoretical gap in asymptotic convergence of the corresponding problem is filled. (C) 2003 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | LARGE TIME BEHAVIOR | - |
dc.subject | ASYMPTOTIC-BEHAVIOR | - |
dc.subject | CONSERVATION-LAWS | - |
dc.subject | BURGERS-EQUATION | - |
dc.subject | REGULARITY | - |
dc.title | An Oleinik-type estimate for a convection-diffusion equation and convergence to N-waves | - |
dc.type | Article | - |
dc.identifier.wosid | 000220751900003 | - |
dc.identifier.scopusid | 2-s2.0-1942446149 | - |
dc.type.rims | ART | - |
dc.citation.volume | 199 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 269 | - |
dc.citation.endingpage | 289 | - |
dc.citation.publicationname | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.1016/j.jde.2003.10.014 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | LARGE TIME BEHAVIOR | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | BURGERS-EQUATION | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | SYSTEMS | - |
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