dc.contributor.author | Bressan, Alberto | |
dc.contributor.author | Galtung, Sondre Tesdal | |
dc.contributor.author | Grunert, Katrin | |
dc.contributor.author | Nguyen, Khai Tien | |
dc.date.accessioned | 2023-02-09T12:13:00Z | |
dc.date.available | 2023-02-09T12:13:00Z | |
dc.date.created | 2022-06-27T08:32:16Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Communications in Partial Differential Equations. 2022, 47 (9), 1795-1844. | en_US |
dc.identifier.issn | 0360-5302 | |
dc.identifier.uri | https://hdl.handle.net/11250/3049686 | |
dc.description.abstract | This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the sum of a function with H2 regularity away from the shocks plus a corrector term having an asymptotic behavior like |x| ln |x|
close to each shock. A key step in the analysis is the construction of piecewise smooth solutions with a single shock for a general class of initial data. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Shock interactions for the Burgers-Hilbert equation | en_US |
dc.title.alternative | Shock interactions for the Burgers-Hilbert equation | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 1795-1844 | en_US |
dc.source.volume | 47 | en_US |
dc.source.journal | Communications in Partial Differential Equations | en_US |
dc.source.issue | 9 | en_US |
dc.identifier.doi | 10.1080/03605302.2022.2084628 | |
dc.identifier.cristin | 2035202 | |
dc.relation.project | Norges forskningsråd: 286822 | en_US |
dc.relation.project | Norges forskningsråd: 250070 | en_US |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |