Geodesic
Coriolis effect on water waves
Melinand, Benjamin1 
1 IMB, Université de Bordeaux, France.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 5, pp. 1957-1985

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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.

Reçu le :
Accepté le :
DOI : 10.1051/m2an/2017024
Classification : 35Q35, 76B15
Keywords: Water waves equations, quasilinear hyperbolic system, asymptotic models, shallow water asymptotic

Melinand, Benjamin 1

1 IMB, Université de Bordeaux, France. 
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     author = {Melinand, Benjamin},
     title = {Coriolis effect on water waves},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1957--1985},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {5},
     year = {2017},
     doi = {10.1051/m2an/2017024},
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     zbl = {1382.35232},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2017024/}
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Melinand, Benjamin. Coriolis effect on water waves. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 5, pp. 1957-1985. doi: 10.1051/m2an/2017024

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