| dc.contributor.author | Geng, Zhiyuan | |
| dc.contributor.author | Granero Belinchón, Rafael | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2023-06-28T16:45:52Z | |
| dc.date.available | 2023-06-28T16:45:52Z | |
| dc.date.issued | 2023 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.other | PID2019-109348GA-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/29400 | |
| dc.description.abstract | In this paper we study the motion of an internal water wave and an internal wave in a porous medium. For these problems we establish that, if the free boundary and, in the case of the Euler equations, also the tangential velocity at the interface are sufficiently smooth, the depth cannot vanish in finite time. This results holds regardless of gravity and surface tension effects or, if applicable, the stratification in multiphase flows. | es_ES |
| dc.description.sponsorship | The first author was supported by the Basque Government through the BERC 2022-2025 program and by the Spanish State Research Agency through BCAM Severo Ochoa excellence accreditation SEV-2017-0718 and through project PID2020-114189RB-I00 funded by Agencia Estatal de Investigaci´on (PID2020-14189RB-I00 / AEI / 10.13039/501100011033). The second author was supported by the project “Mathematical Analysis of Fluids and Applications” Grant PID2019-109348GA-I00 funded by MCIN/AEI/ 10.13039/501100011033 and acronym “MAFyA”. This publication is part of the project PID2019-109348GA-I00 funded by MCIN/ AEI /10.13039/501100011033. The second author was also supported by a 2021 Leonardo Grant for Researchers and Cultural Creators, BBVA Foundation. | es_ES |
| dc.format.extent | 15 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 volume 151 (2), 2023, published by the American Mathematical Society | es_ES |
| dc.source | Proceedings of the American Mathematical Society, 2023, 151(2), 707-722 | es_ES |
| dc.title | A unified approach towards the impossibility of finite time vanishing depth for incompressible free boundary flows | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1090/proc/16135 | |
| dc.type.version | submittedVersion | es_ES |
