| dc.contributor.author | Granero Belinchón, Rafael | |
| dc.contributor.author | Scrobogna, Stefano | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2023-08-04T13:09:01Z | |
| dc.date.available | 2023-08-04T13:09:01Z | |
| dc.date.issued | 2020-12 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.other | MTM2017-89976-P | es_ES |
| dc.identifier.other | MTM2017-82184-R | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/29600 | |
| dc.description.abstract | Starting from the paper by Dias, Dyachenko, and Zakharov (Physics Letters A, 2008) on viscous water waves, we derive a model that describes water waves with viscosity moving in deep water with or without surface tension effects. This equation takes the form of a nonlocal fourth order wave equation and retains the main contributions to the dynamics of the free surface. Then, we prove the well-posedness in Sobolev spaces of such an equation. | es_ES |
| dc.description.sponsorship | The research of S.S. is supported by the Basque Government through the BERC 2018-2021 program and by Spanish Ministry of Economy and Competitiveness MINECO through BCAM Severo Ochoa excellence accreditation SEV-2017-0718 and through project MTM2017-82184-R funded by (AEI/FEDER, UE) and acronym ”DESFLU” and by the European Research Council through the Starting Grant project H2020-EU.1.1.-639227 FLUIDINTERFACE. R. G-B has been funded by the grant MTM2017-89976-P from the Spanish government. | es_ES |
| dc.format.extent | 12 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | American Mathematical Society | es_ES |
| dc.rights | © American Mathematical Society. First published in Proceedings of the American Mathematical Society in 2020 148(12), published by the American Mathematical Society | es_ES |
| dc.source | Proceedings of the American Mathematical Society, 2020, 148, 5181-5191 | es_ES |
| dc.title | Well-posedness of water wave model with viscous effects | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1090/proc/15219 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1090/proc/15219 | |
| dc.type.version | acceptedVersion | es_ES |
