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dc.contributor.authorKalisch, Henrik
dc.contributor.authorMitrovic, Darko
dc.contributor.authorNordbotten, Jan Martin
dc.date.accessioned2016-02-08T12:51:41Z
dc.date.available2016-02-08T12:51:41Z
dc.date.issued2015-08
dc.PublishedJournal of Mathematical Analysis and Applications 2015, 428(2):882-895eng
dc.identifier.issn0022-247Xen_US
dc.identifier.urihttps://hdl.handle.net/1956/11045
dc.description.abstractIt is shown how delta shock waves which consist of Dirac delta distributions and classical shocks can be used to construct non-monotone solutions of the Buckley–Leverett equation. These solutions are interpreted using a recent variational definition of delta shock waves in which the Rankine–Hugoniot deficit is explicitly accounted for [6]. The delta shock waves are also limits of approximate solutions constructed using a recent extension of the weak asymptotic method to complex-valued approximations [15]. Finally, it is shown how these non-standard shocks can be fitted together to construct similarity and traveling-wave solutions which are non-monotone, but still admissible in the sense that characteristics either enter or are parallel to the shock trajectories.en_US
dc.language.isoengeng
dc.publisherElsevieren_US
dc.rightsAttribution CC BYeng
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/eng
dc.subjectConservation lawseng
dc.subjectDelta shockseng
dc.subjectRiemann problemeng
dc.subjectWeak asymptoticseng
dc.subjectTraveling waveseng
dc.titleNon-standard shocks in the Buckley-Leverett equationen_US
dc.typePeer reviewed
dc.typeJournal article
dc.date.updated2015-12-21T20:11:04Z
dc.description.versionpublishedVersionen_US
dc.rights.holderCopyright 2015 The Authorsen_US
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2015.03.041
dc.identifier.cristin1253715
dc.relation.projectNorges forskningsråd: 215641
dc.subject.nsiVDP::Matematikk og naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414
dc.subject.nsiVDP::Mathematics and natural scienses: 400::Mathematics: 410::Algebra/algebraic analysis: 414


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