Coriolis effect on water waves
Langue
en
Article de revue
Ce document a été publié dans
ESAIM: Mathematical Modelling and Numerical Analysis. 2017-11-14
EDP Sciences
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
water waves
shallow water asymptotic model
Project ANR
DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003
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