dc.contributor.author | Antonio Carrillo, Jose | |
dc.contributor.author | Grunert, Katrin | |
dc.contributor.author | Holden, Helge | |
dc.date.accessioned | 2019-12-02T15:20:23Z | |
dc.date.available | 2019-12-02T15:20:23Z | |
dc.date.created | 2019-04-25T18:05:18Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Communications in Partial Differential Equations. 2019, 44 (4), 309-334. | nb_NO |
dc.identifier.issn | 0360-5302 | |
dc.identifier.uri | http://hdl.handle.net/11250/2631319 | |
dc.description.abstract | We analyze stability of conservative solutions of the Cauchy problem on the line for the (integrated) Hunter–Saxton (HS) equation. Generically, the solutions of the HS equation develop singularities with steep gradients while preserving continuity of the solution itself. In order to obtain uniqueness, one is required to augment the equation itself by a measure that represents the associated energy, and the breakdown of the solution is associated with a complicated interplay where the measure becomes singular. The main result in this article is the construction of a Lipschitz metric that compares two solutions of the HS equation with the respective initial data. The Lipschitz metric is based on the use of the Wasserstein metric. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Taylor & Francis | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | A Lipschitz metric for the Hunter–Saxton equation | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.pagenumber | 309-334 | nb_NO |
dc.source.volume | 44 | nb_NO |
dc.source.journal | Communications in Partial Differential Equations | nb_NO |
dc.source.issue | 4 | nb_NO |
dc.identifier.doi | 10.1080/03605302.2018.1547744 | |
dc.identifier.cristin | 1693985 | |
dc.relation.project | Norges forskningsråd: 250070 | nb_NO |
dc.description.localcode | (C) 2019 The Author(s). Published by Taylor & Francis Group, LLC. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/ licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | preprint | |
cristin.qualitycode | 2 | |