dc.contributor.author | Kalisch, Henrik | |
dc.contributor.author | Mitrovic, Darko | |
dc.date.accessioned | 2023-03-30T11:30:06Z | |
dc.date.available | 2023-03-30T11:30:06Z | |
dc.date.created | 2022-09-26T09:48:21Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 2349-5103 | |
dc.identifier.uri | https://hdl.handle.net/11250/3061122 | |
dc.description.abstract | A weak notion of solution for systems of conservation laws in one dimension is put forward. In the framework introduced here, it can be shown that the Cauchy problem for any n×n system of conservation laws has a solution. The solution concept is an extension of the notion of singular δ-shocks which have been used to provide solutions for Riemann problems in various systems, for example in cases where strict hyperbolicity or the genuine-nonlinearity condition are not satisfied, or in cases where initial conditions have large variation. We also introduce admissibility conditions which eliminate a wide range of unreasonable solutions. Finally, we provide an example from the shallow water system which justifies introduction of δ-distributions as a part of solutions to systems of conservation laws. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2022 The Author(s) | en_US |
dc.source.articlenumber | 175 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/s40819-022-01368-4 | |
dc.identifier.cristin | 2055263 | |
dc.source.journal | International Journal of Applied and Computational Mathematics | en_US |
dc.identifier.citation | International Journal of Applied and Computational Mathematics. 2022, 8 (4), 175. | en_US |
dc.source.volume | 8 | en_US |
dc.source.issue | 4 | en_US |