A note on nonlinear KdV-type equations

dc.contributor.authorBedjaoui, Nabil
dc.contributor.authorCorreia, Joaquim M.C.
dc.contributor.editorAzenhas, Olga
dc.contributor.editorSantos, Lisa
dc.contributor.editorReis, Paula
dc.contributor.editorFlorentino, Carlos
dc.contributor.editorSá, Carlos
dc.contributor.editorAugusto Ferreira, José
dc.contributor.editorCustódio, Ana Luísa
dc.contributor.editorAntunes, Nelson
dc.contributor.editorDuarte, Pedro Miguel
dc.date.accessioned2013-01-22T11:15:04Z
dc.date.available2013-01-22T11:15:04Z
dc.date.issued2013
dc.description.abstractWe consider the approximation of the inviscid Burgers equation by nonlinear Korteweg-de Vries (KdV) type equations. It has been conjectured by Brenier and Levy [1] that in some special kind of nonlinear dispersion the behaviour is dissipative, when generally we expect a dispersive behaviour as in the linear case. We provide here a priori estimates enough to establish the first step in a proof of the conjecture above.por
dc.identifier.authoremailnabil.bedjaoui@u-picardie.fr
dc.identifier.authoremailjmcorreia@uevora.pt
dc.identifier.citationBoletim da Sociedade Portuguesa de Matemáticapor
dc.identifier.issn0872-3672
dc.identifier.scientificarea334por
dc.identifier.urihttp://hdl.handle.net/10174/7598
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSociedade Portuguesa de Matemáticapor
dc.rightsrestrictedAccesspor
dc.subjectKdV-type equationpor
dc.subjectinviscid Burgers equationpor
dc.subjectshock wavepor
dc.subjectentropy weak solutionpor
dc.subjectmeasure-valued solutionpor
dc.subjectdispersionpor
dc.subjectdissipationpor
dc.titleA note on nonlinear KdV-type equationspor
dc.typearticlepor

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