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The Hunter-Saxton equation with noise

dc.contributor.authorHolden, Helge
dc.contributor.authorKarlsen, Kenneth Hvistendahl
dc.contributor.authorPang, Ho Cheung
dc.date.accessioned2022-02-10T09:02:25Z
dc.date.available2022-02-10T09:02:25Z
dc.date.created2020-10-07T10:14:23Z
dc.date.issued2021
dc.identifier.citationJournal of Differential Equations. 2021, 270, 725-786.en_US
dc.identifier.issn0022-0396
dc.identifier.urihttps://hdl.handle.net/11250/2978165
dc.description.abstractIn this paper we develop an existence theory for the Cauchy problem to the stochastic Hunter–Saxton equation (1.1), and prove several properties of the blow-up of its solutions. An important part of the paper is the continuation of solutions to the stochastic equations beyond blow-up (wave-breaking). In the linear noise case, using the method of (stochastic) characteristics, we also study random wave-breaking and stochastic effects unobserved in the deterministic problem. Notably, we derive an explicit law for the random wave-breaking time.en_US
dc.language.isoengen_US
dc.publisherElsevier Scienceen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleThe Hunter-Saxton equation with noiseen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.source.pagenumber725-786en_US
dc.source.volume270en_US
dc.source.journalJournal of Differential Equationsen_US
dc.identifier.doi10.1016/j.jde.2020.07.031
dc.identifier.cristin1837818
dc.relation.projectNorges forskningsråd: 250674en_US
dc.relation.projectNorges forskningsråd: 250070en_US
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2


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