DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong Jung | ko |
dc.date.accessioned | 2013-03-03T16:49:38Z | - |
dc.date.available | 2013-03-03T16:49:38Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2003-07 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.192, no.1, pp.202 - 224 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/10203/79544 | - |
dc.description.abstract | The goal of this article is to develop a new technique to obtain better asymptotic estimates for scalar conservation laws. General convex flux, f(n) (u) greater than or equal to 0, is considered with an assumption lim(u-->0) uf'(u)/f (u) = gamma > 1. We show that, under suitable conditions on the initial value, its solution converges to an N-wave in L-1 norm with the optimal convergence order of 0(1/t). The technique we use in this article is to enclose the solution with two rarefaction waves. We also show a uniform convergence order in the sense of graphs. A numerical example of this phenomenon is included. (C) 2003 Elsevier Science (USA). All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | LARGE TIME BEHAVIOR | - |
dc.subject | BURGERS-EQUATION | - |
dc.subject | SYSTEMS | - |
dc.title | Asymptotic behavior of solutions to scalar conservation laws and optimal convergence orders to N-waves | - |
dc.type | Article | - |
dc.identifier.wosid | 000183616800010 | - |
dc.identifier.scopusid | 2-s2.0-0038349582 | - |
dc.type.rims | ART | - |
dc.citation.volume | 192 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 202 | - |
dc.citation.endingpage | 224 | - |
dc.citation.publicationname | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.identifier.doi | 10.1016/S0022-0396(03)00058-5 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | asymptotics | - |
dc.subject.keywordAuthor | characteristics | - |
dc.subject.keywordAuthor | convergence order | - |
dc.subject.keywordAuthor | N-wave | - |
dc.subject.keywordAuthor | similarity | - |
dc.subject.keywordPlus | LARGE TIME BEHAVIOR | - |
dc.subject.keywordPlus | BURGERS-EQUATION | - |
dc.subject.keywordPlus | SYSTEMS | - |
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