Coriolis effect on water waves
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MELINAND, Benjamin | |
| dc.date.accessioned | 2024-04-04T03:14:01Z | |
| dc.date.available | 2024-04-04T03:14:01Z | |
| dc.date.created | 2015-11-20 | |
| dc.date.issued | 2017-11-14 | |
| dc.identifier.issn | 0764-583X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194003 | |
| dc.description.abstractEn | This paper is devoted to the study of water waves under the influence of the gravity and the Coriolis force. It is quite common in the physical literature that the rotating shallow water equations are used to study such water waves. We prove a local wellposedness theorem for the water waves equations with vorticity and Coriolis force, taking into account the dependence on various physical parameters and we justify rigorously the shallow water model. We also consider a possible non constant pressure at the surface that can be used to describe meteorological disturbances such as storms or pressure jumps for instance. | |
| dc.description.sponsorship | DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003 | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.subject.en | water waves | |
| dc.subject.en | shallow water asymptotic model | |
| dc.title.en | Coriolis effect on water waves | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1511.07407 | |
| bordeaux.journal | ESAIM: Mathematical Modelling and Numerical Analysis | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01232494 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01232494v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ESAIM:%20Mathematical%20Modelling%20and%20Numerical%20Analysis&rft.date=2017-11-14&rft.eissn=0764-583X&rft.issn=0764-583X&rft.au=MELINAND,%20Benjamin&rft.genre=article |
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