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dc.contributor.authorAntonio Carrillo, José
dc.contributor.authorGrunert, Katrin
dc.contributor.authorHolden, Helge
dc.date.accessioned2020-08-27T11:00:26Z
dc.date.available2020-08-27T11:00:26Z
dc.date.created2020-06-30T09:16:33Z
dc.date.issued2020
dc.identifier.citationForum of Mathematics, Sigma. 2020, 8 (e27), .en_US
dc.identifier.issn2050-5094
dc.identifier.urihttps://hdl.handle.net/11250/2675372
dc.description.abstractWe analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH 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 paper is the construction of a Lipschitz metric that compares two solutions of the CH equation with the respective initial data. The Lipschitz metric is based on the use of the Wasserstein metric.en_US
dc.language.isoengen_US
dc.publisherCambridge University Pressen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleA Lipschitz metric for the Camassa--Holm equationen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.source.pagenumber292en_US
dc.source.volume8en_US
dc.source.journalForum of Mathematics, Sigmaen_US
dc.source.issuee27en_US
dc.identifier.doihttps://doi.org/10.1017/fms.2020.22
dc.identifier.cristin1817712
dc.relation.projectNorges forskningsråd: 286822en_US
dc.relation.projectNorges forskningsråd: 250070en_US
dc.description.localcode© The Author(s) 2020 This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.en_US
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Navngivelse 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Navngivelse 4.0 Internasjonal