Show simple item record

dc.contributor.authorEhrnstrom, Mats
dc.contributor.authorNik, Katerina
dc.contributor.authorWalker, Christoph
dc.date.accessioned2023-03-02T12:14:53Z
dc.date.available2023-03-02T12:14:53Z
dc.date.created2022-09-15T14:31:37Z
dc.date.issued2022
dc.identifier.issn0002-9939
dc.identifier.urihttps://hdl.handle.net/11250/3055353
dc.description.abstractStarting with the periodic waves earlier constructed for the gravity Whitham equation, we parameterise the solution curves through relative wave height, and use a limiting argument to obtain a full family of solitary waves. The resulting branch starts from the zero solution, traverses unique points in the wave speed–wave height space, and reaches a singular highest wave at. The construction is based on uniform estimates improved from earlier work on periodic waves for the same equation, together with limiting arguments and a Galilean transform to exclude vanishing waves and waves levelling off at negative surface depth. In fact, the periodic waves can be proved to converge locally uniformly to a wave with negative tails, which is then transformed to the desired branch of solutions. The paper also contains some proof concerning uniqueness and continuity for signed solutions (improved touching lemma).en_US
dc.language.isoengen_US
dc.publisherAmerican Mathematical Societyen_US
dc.relation.urihttps://arxiv.org/abs/2204.03274
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleA direct construction of a full family of Whitham solitary wavesen_US
dc.title.alternativeA direct construction of a full family of Whitham solitary wavesen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionacceptedVersionen_US
dc.source.volume151en_US
dc.source.journalProceedings of the American Mathematical Societyen_US
dc.source.issue2en_US
dc.identifier.doi10.1090/proc/16191
dc.identifier.cristin2052108
dc.relation.projectNorges forskningsråd: 325114en_US
dc.relation.projectNorges forskningsråd: 250070en_US
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Navngivelse 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Navngivelse 4.0 Internasjonal