Coriolis effect on water waves
Language
en
Article de revue
This item was published in
ESAIM: Mathematical Modelling and Numerical Analysis. 2017-11-14
EDP Sciences
English Abstract
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 ...Read more >
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.Read less <
English Keywords
water waves
shallow water asymptotic model
ANR Project
DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003
Origin
Hal imported