dc.contributor.author | Dinvay, Evgueni | |
dc.contributor.author | Selberg, Sigmund | |
dc.contributor.author | Tesfahun, Achenef | |
dc.date.accessioned | 2021-08-06T12:21:28Z | |
dc.date.available | 2021-08-06T12:21:28Z | |
dc.date.created | 2020-11-05T10:02:11Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 0036-1410 | |
dc.identifier.uri | https://hdl.handle.net/11250/2766819 | |
dc.description.abstract | We regard the Cauchy problem for a particular Whitham--Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in well-posedness at a very low level of regularity. We derive dispersive and Strichartz estimates and implement them together with a fixed point argument to solve the problem locally. Hamiltonian conservation guarantees global well-posedness for small initial data in the one dimensional settings. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | SIAM | en_US |
dc.title | Well-Posedness for a Dispersive System of the Whitham-Boussinesq Type | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2020 Society for Industrial and Applied Mathematics | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.doi | 10.1137/19M125577X | |
dc.identifier.cristin | 1845132 | |
dc.source.journal | SIAM Journal on Mathematical Analysis | en_US |
dc.source.pagenumber | 2353-2382 | en_US |
dc.identifier.citation | SIAM Journal on Mathematical Analysis. 2020, 52 (3), 2353-2382. | en_US |
dc.source.volume | 52 | en_US |
dc.source.issue | 3 | en_US |