MELINAND, Benjamin

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MELINAND, Benjamin
Institut de Mathématiques de Bordeaux [IMB]

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ESAIM: Mathematical Modelling and Numerical Analysis. 2017-11-14

EDP Sciences

Resumen en inglés

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.< Leer menos

Palabras clave en inglés

water waves

shallow water asymptotic model

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194003

Proyecto ANR

DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003

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Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251