Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed

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dc.contributor.authorHilhorst, Danielleko
dc.contributor.authorKim, Yong-Jungko
dc.date.accessioned2016-07-25T09:34:25Z-
dc.date.available2016-07-25T09:34:25Z-
dc.date.created2016-07-18-
dc.date.created2016-07-18-
dc.date.issued2016-10-
dc.identifier.citationAPPLIED MATHEMATICS LETTERS, v.60, pp.28 - 35-
dc.identifier.issn0893-9659-
dc.identifier.urihttp://hdl.handle.net/10203/212089-
dc.description.abstractIn this paper we present an intuitive explanation for the non-uniqueness of the traveling wave speed in the Fisher equation, showing a similar non-uniqueness property in the case of inviscid traveling waves. More precisely, we prove that traveling waves of the Fisher equation with wave speed c > 0 converge to the inviscid traveling wave with speed. c > 0 as the diffusion vanishes. A complete diagram that shows the relation between the diffusive and inviscid traveling waves is given in this paper. (c) 2016 Elsevier Ltd. All rights reserved-
dc.languageEnglish-
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD-
dc.subjectCONVECTION EQUATIONS-
dc.subjectPROPAGATION-
dc.subjectLIMIT-
dc.titleDiffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed-
dc.typeArticle-
dc.identifier.wosid000378180700005-
dc.identifier.scopusid2-s2.0-84964692616-
dc.type.rimsART-
dc.citation.volume60-
dc.citation.beginningpage28-
dc.citation.endingpage35-
dc.citation.publicationnameAPPLIED MATHEMATICS LETTERS-
dc.identifier.doi10.1016/j.aml.2016.03.022-
dc.contributor.localauthorKim, Yong-Jung-
dc.contributor.nonIdAuthorHilhorst, Danielle-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorFisher equation-
dc.subject.keywordAuthorMinimum wave speed-
dc.subject.keywordAuthorInviscid traveling waves-
dc.subject.keywordPlusCONVECTION EQUATIONS-
dc.subject.keywordPlusPROPAGATION-
dc.subject.keywordPlusLIMIT-
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