dc.contributor.author | Kalisch, Henrik | |
dc.contributor.author | Mitrovic, Darko | |
dc.contributor.author | Nordbotten, Jan Martin | |
dc.date.accessioned | 2016-02-08T12:51:41Z | |
dc.date.available | 2016-02-08T12:51:41Z | |
dc.date.issued | 2015-08 | |
dc.Published | Journal of Mathematical Analysis and Applications 2015, 428(2):882-895 | eng |
dc.identifier.issn | 0022-247X | en_US |
dc.identifier.uri | https://hdl.handle.net/1956/11045 | |
dc.description.abstract | It 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.iso | eng | eng |
dc.publisher | Elsevier | en_US |
dc.rights | Attribution CC BY | eng |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject | Conservation laws | eng |
dc.subject | Delta shocks | eng |
dc.subject | Riemann problem | eng |
dc.subject | Weak asymptotics | eng |
dc.subject | Traveling waves | eng |
dc.title | Non-standard shocks in the Buckley-Leverett equation | en_US |
dc.type | Peer reviewed | |
dc.type | Journal article | |
dc.date.updated | 2015-12-21T20:11:04Z | |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2015 The Authors | en_US |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2015.03.041 | |
dc.identifier.cristin | 1253715 | |
dc.relation.project | Norges forskningsråd: 215641 | |
dc.subject.nsi | VDP::Matematikk og naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414 | |
dc.subject.nsi | VDP::Mathematics and natural scienses: 400::Mathematics: 410::Algebra/algebraic analysis: 414 | |