DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Mijoung | ko |
dc.contributor.author | Kim, Yong Jung | ko |
dc.date.accessioned | 2013-08-29T02:16:42Z | - |
dc.date.available | 2013-08-29T02:16:42Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | INDIANA UNIVERSITY MATHEMATICS JOURNAL, v.58, no.2, pp.733 - 750 | - |
dc.identifier.issn | 0022-2518 | - |
dc.identifier.uri | http://hdl.handle.net/10203/176594 | - |
dc.description.abstract | The main goal of this paper is to investigate the mechanism of a conservation law that gives the N-wave like asymptotics. It turns out that the positivity of the flux function provides a certain invariance of solution which singles out the right asymptotics among two parameter family of N-waves. Two kinds of long time asymptotic convergence orders in L(1)-norm to this N-wave are proved using a potential comparison technique. The first one is of the magnitude of the N-wave itself and the second one is of order 1/t. We observe that these asymptotic convergence orders are related to space and time translations of potentials. | - |
dc.language | English | - |
dc.publisher | INDIANA UNIV MATH JOURNAL | - |
dc.subject | FAST-DIFFUSION-EQUATIONS | - |
dc.subject | POROUS-MEDIUM EQUATION | - |
dc.subject | ASYMPTOTIC-BEHAVIOR | - |
dc.subject | NONLINEAR DIFFUSION | - |
dc.subject | HYPERBOLIC SYSTEMS | - |
dc.subject | SELF-SIMILARITY | - |
dc.subject | N-WAVES | - |
dc.subject | ENTROPY | - |
dc.subject | RATES | - |
dc.subject | DECAY | - |
dc.title | Invariance Property of a Conservation Law without Convexity | - |
dc.type | Article | - |
dc.identifier.wosid | 000265899500009 | - |
dc.identifier.scopusid | 2-s2.0-67249132351 | - |
dc.type.rims | ART | - |
dc.citation.volume | 58 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 733 | - |
dc.citation.endingpage | 750 | - |
dc.citation.publicationname | INDIANA UNIVERSITY MATHEMATICS JOURNAL | - |
dc.identifier.doi | 10.1512/iumj.2009.58.3495 | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.contributor.nonIdAuthor | Kim, Mijoung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Asympotatics in time | - |
dc.subject.keywordAuthor | Characteristics | - |
dc.subject.keywordAuthor | Convergence order | - |
dc.subject.keywordAuthor | N-wave | - |
dc.subject.keywordAuthor | Potential comparison | - |
dc.subject.keywordAuthor | Similarity | - |
dc.subject.keywordPlus | FAST-DIFFUSION-EQUATIONS | - |
dc.subject.keywordPlus | POROUS-MEDIUM EQUATION | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | NONLINEAR DIFFUSION | - |
dc.subject.keywordPlus | HYPERBOLIC SYSTEMS | - |
dc.subject.keywordPlus | SELF-SIMILARITY | - |
dc.subject.keywordPlus | N-WAVES | - |
dc.subject.keywordPlus | ENTROPY | - |
dc.subject.keywordPlus | RATES | - |
dc.subject.keywordPlus | DECAY | - |
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