B. Cushman-roisin, Introduction to Geophysical Fluid Dynamics, 1994.

C. Cao and E. S. Titi, Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics, Annals of Mathematics, vol.166, issue.1, pp.245-267, 2007.
DOI : 10.4007/annals.2007.166.245

T. Gerkema, J. T. Zimmerman, L. R. Maas, and H. Van-haren, Geophysical and astrophysical fluid dynamics beyond the traditional approximation, Reviews of Geophysics, vol.495, issue.3, pp.1-33, 2008.
DOI : 10.1029/2006RG000220

L. Perelman, J. Marshall, C. Hill, and A. Adcroft, Hydrostatic, quasi-hydrostatic, and nonhydrostatic ocean modeling, J. Geophys. Research, vol.102, pp.5733-5752, 1997.

G. M. Kobelkov, Existence of a Solution ???in the Large??? for Ocean Dynamics Equations, Journal of Mathematical Fluid Mechanics, vol.9, issue.4, pp.588-610, 2007.
DOI : 10.1007/s00021-006-0228-4

I. Kukavica and M. Ziane, On the regularity of the primitive equations of the ocean, Nonlinearity, vol.20, issue.12, pp.2739-2753, 2007.
DOI : 10.1088/0951-7715/20/12/001

C. Lucas and A. Rousseau, New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-geostrophic Equations, Multiscale Modeling & Simulation, vol.7, issue.2, pp.796-813, 2008.
DOI : 10.1137/070705453

URL : https://hal.archives-ouvertes.fr/inria-00392886

C. Lucas, Cosine effect on shallow water equations and mathematical properties, Quarterly of Applied Mathematics, vol.67, issue.2, 2009.
DOI : 10.1090/S0033-569X-09-01113-0

URL : https://hal.archives-ouvertes.fr/inria-00186560

G. Madec, NEMO reference manual, ocean dynamics component : NEMO-OPA, Note du Pole de modélisation, Institut Pierre-Simon Laplace (IPSL), 2008.

G. Madec, P. Delecluse, M. Imbard, and C. Lévy, OPA 8.1. Ocean General Circulation Model Reference Manual, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00154217

M. Petcu, R. Temam, and M. Ziane, Mathematical problems for the primitive equations with viscosity, Handbook of Numerical Analysis. Special Issue on Some Mathematical Problems in Geophysical Fluid Dynamics, Handb. Numer. Anal, 2008.

R. Temam and M. Ziane, Some Mathematical Problems in Geophysical Fluid Dynamics, Handbook of mathematical fluid dynamics, 2004.
DOI : 10.1016/S1874-5792(05)80009-6

A. A. White and R. A. Bromley, Dynamically consistent, quasi-hydrostatic equations for global models with a complete representation of the Coriolis force, Quarterly Journal of the Royal Meteorological Society, vol.115, issue.522, pp.399-418, 1995.
DOI : 10.1002/qj.49712152208