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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

Potential comparison and asymptotics in scalar conservation laws without convexity

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dc.contributor.authorKim, Yong Jungko
dc.date.accessioned2013-03-07T18:20:03Z-
dc.date.available2013-03-07T18:20:03Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2008-01-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, v.244, no.1, pp.40 - 51-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/10203/90911-
dc.description.abstractTwo kinds of optimal convergence orders in L-1-norm to a self-similar solution are proved or conjectured for various evolutionary problems so far. The first convergence order is of the magnitude of the similarity solution itself and the second one is of order 1/t. Employing a potential comparison technique to scalar conservation laws we may easily see that these asymptotic convergence orders are related to space and time translation of potentials. We present the technique clearly in the simple setting of scalar conservation laws in one space dimension. (C) 2006 Published by Elsevier Inc.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subjectFAST-DIFFUSION-EQUATIONS-
dc.subjectNONLINEAR DIFFUSION-
dc.subjectSELF-SIMILARITY-
dc.subjectN-WAVES-
dc.subjectBEHAVIOR-
dc.subjectENTROPY-
dc.titlePotential comparison and asymptotics in scalar conservation laws without convexity-
dc.typeArticle-
dc.identifier.wosid000252326300003-
dc.identifier.scopusid2-s2.0-36048947639-
dc.type.rimsART-
dc.citation.volume244-
dc.citation.issue1-
dc.citation.beginningpage40-
dc.citation.endingpage51-
dc.citation.publicationnameJOURNAL OF DIFFERENTIAL EQUATIONS-
dc.identifier.doi10.1016/j.jde.2006.08.013-
dc.contributor.localauthorKim, Yong Jung-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorpotential comparison principle-
dc.subject.keywordAuthorprimitive-
dc.subject.keywordAuthorconservation laws-
dc.subject.keywordAuthoroptimal convergence order-
dc.subject.keywordAuthorasymptotics-
dc.subject.keywordAuthorconvection-
dc.subject.keywordPlusFAST-DIFFUSION-EQUATIONS-
dc.subject.keywordPlusNONLINEAR DIFFUSION-
dc.subject.keywordPlusSELF-SIMILARITY-
dc.subject.keywordPlusN-WAVES-
dc.subject.keywordPlusBEHAVIOR-
dc.subject.keywordPlusENTROPY-
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MA-Journal Papers(저널논문)
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