the fundamental solution of a conservation law without convexity

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dc.contributor.authorHa, Youngsooko
dc.contributor.authorKim, Yong-Jungko
dc.date.accessioned2016-06-28T05:10:01Z-
dc.date.available2016-06-28T05:10:01Z-
dc.date.created2016-03-21-
dc.date.created2016-03-21-
dc.date.created2016-03-21-
dc.date.issued2015-12-
dc.identifier.citationQUARTERLY OF APPLIED MATHEMATICS, v.73, no.4, pp.661 - 678-
dc.identifier.issn0033-569X-
dc.identifier.urihttp://hdl.handle.net/10203/208357-
dc.description.abstractThe nonnegative fundamental solution of a scalar conservation law is constructed when its flux may have a finite number of inflection points. The constructed solution can be either explicit and implicit depending on the flux. This fundamental solution consists of a series of rarefaction waves, contact discontinuities and a shock. These analytically constructed fundamental solutions are also compared with numerical approximations, which possess the structure of the analytically constructed fundamental solution.-
dc.languageEnglish-
dc.publisherBROWN UNIV-
dc.titlethe fundamental solution of a conservation law without convexity-
dc.typeArticle-
dc.identifier.wosid000370645000005-
dc.identifier.scopusid2-s2.0-84949953183-
dc.type.rimsART-
dc.citation.volume73-
dc.citation.issue4-
dc.citation.beginningpage661-
dc.citation.endingpage678-
dc.citation.publicationnameQUARTERLY OF APPLIED MATHEMATICS-
dc.identifier.doi10.1090/qam/1397-
dc.contributor.localauthorKim, Yong-Jung-
dc.contributor.nonIdAuthorHa, Youngsoo-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusASYMPTOTIC-BEHAVIOR-
dc.subject.keywordPlusCONVERGENCE-
dc.subject.keywordPlusREGULARITY-
dc.subject.keywordPlusDIFFUSION-
dc.subject.keywordPlusEQUATIONS-
dc.subject.keywordPlusSCHEMES-
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