Volume 51, Number 5, September-October 2017
|Page(s)||1957 - 1985|
|Published online||14 November 2017|
Coriolis effect on water waves
IMB, Université de Bordeaux, France.
Received: 16 December 2015
Revised: 29 January 2017
Accepted: 20 April 2017
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.
Mathematics Subject Classification: 35Q35 / 76B15
Key words: Water waves equations / quasilinear hyperbolic system / asymptotic models / shallow water asymptotic
© EDP Sciences, SMAI 2017
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