dc.contributor.author | Ehrnstrom, Mats | |
dc.contributor.author | Nik, Katerina | |
dc.contributor.author | Walker, Christoph | |
dc.date.accessioned | 2023-03-02T12:14:53Z | |
dc.date.available | 2023-03-02T12:14:53Z | |
dc.date.created | 2022-09-15T14:31:37Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 0002-9939 | |
dc.identifier.uri | https://hdl.handle.net/11250/3055353 | |
dc.description.abstract | Starting 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.iso | eng | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.relation.uri | https://arxiv.org/abs/2204.03274 | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | A direct construction of a full family of Whitham solitary waves | en_US |
dc.title.alternative | A direct construction of a full family of Whitham solitary waves | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.volume | 151 | en_US |
dc.source.journal | Proceedings of the American Mathematical Society | en_US |
dc.source.issue | 2 | en_US |
dc.identifier.doi | 10.1090/proc/16191 | |
dc.identifier.cristin | 2052108 | |
dc.relation.project | Norges forskningsråd: 325114 | en_US |
dc.relation.project | Norges forskningsråd: 250070 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |