dc.contributor.author | Dinvay, Evgueni | |
dc.date.accessioned | 2021-08-09T07:46:49Z | |
dc.date.available | 2021-08-09T07:46:49Z | |
dc.date.created | 2021-02-16T16:10:25Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 1385-0172 | |
dc.identifier.uri | https://hdl.handle.net/11250/2766865 | |
dc.description.abstract | We regard the Cauchy problem for a particular Whitham–Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal dispersive perturbation of the shallow water system. The proof of well-posedness relies on energy estimates. However, due to the symmetry lack of the nonlinear part, in order to close the a priori estimates one has to modify the traditional energy norm in use. Hamiltonian conservation provides with global well-posedness at least for small initial data in the one dimensional settings. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Well-Posedness for a Whitham–Boussinesq System with Surface Tension | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright The Author(s) 2020 | en_US |
dc.source.articlenumber | 23 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/s11040-020-09339-1 | |
dc.identifier.cristin | 1890533 | |
dc.source.journal | Mathematical Physics, Analysis and Geometry | en_US |
dc.identifier.citation | Mathematical Physics, Analysis and Geometry. 2020, 23, 23. | en_US |
dc.source.volume | 23 | en_US |