A. Bensoussan, Some existence results for stochastic partial differential equations, Pitman Res. Notes Math. Ser. Longman Sci. Tech, vol.268, pp.37-53, 1990.

A. Bensoussan, R. Glowinski, and A. Rãscanu, Approximation of some stochastic differential equations by the splitting up method, Applied Mathematics & Optimization, vol.XXXIV, issue.3, pp.81-106, 1992.
DOI : 10.1007/BF01184157

H. Bessaih and A. Millet, Large Deviations and the Zero Viscosity Limit for 2D Stochastic Navier???Stokes Equations with Free Boundary, SIAM Journal on Mathematical Analysis, vol.44, issue.3, pp.1861-1893, 2012.
DOI : 10.1137/110827235
URL : https://hal.archives-ouvertes.fr/hal-00705261

Z. Brze´zniakbrze´zniak, E. Carelli, and A. Prohl, Finite-element-based discretizations of the incompressible Navier-Stokes equations with multiplicative random forcing, IMA Journal of Numerical Analysis, vol.33, issue.3, pp.771-824, 2013.
DOI : 10.1093/imanum/drs032

Z. Brze´zniakbrze´zniak and A. Millet, On the splitting method for some complex-valued quasilinear evolution equations, Proceedings in Mathematics and Statistics, pp.57-90, 2012.

E. Carelli and A. Prohl, Rates of Convergence for Discretizations of the Stochastic Incompressible Navier--Stokes Equations, SIAM Journal on Numerical Analysis, vol.50, issue.5, pp.50-55, 2012.
DOI : 10.1137/110845008

L. Cattabriga, Su un problema al contorno relativo al sistema di equazioni di Stokes, Rend. Sem. Mat. Univ. Padova, vol.31, pp.308-340, 1961.

I. Chueshov and A. Millet, Stochastic 2D Hydrodynamical Type Systems: Well Posedness and Large Deviations, Applied Mathematics and Optimization, vol.34, issue.5, pp.61-64, 2010.
DOI : 10.1007/s00245-009-9091-z
URL : https://hal.archives-ouvertes.fr/hal-00295023

P. Dörsek, Semigroup Splitting and Cubature Approximations for the Stochastic Navier???Stokes Equations, SIAM Journal on Numerical Analysis, vol.50, issue.2, pp.729-746, 2012.
DOI : 10.1137/110833841

J. Duan and A. Millet, Large deviations for the Boussinesq equations under random influences, Stochastic Processes and their Applications, pp.119-125, 2009.
DOI : 10.1016/j.spa.2008.10.004
URL : https://hal.archives-ouvertes.fr/hal-00400339

. F. Flandoli, An introduction to 3D stochastic fluid dynamics, in SPDE in hydrodynamic: recent progress and prospects, Lecture Notes in Mathematics, 1942.

F. Flandoli and D. Gatarek, Martingale and stationary solutions for stochastic Navier-Stokes equations, Probability Theory and Related Fields, pp.367-391, 1995.

T. Funaki, A stochastic partial differential equation with values in a manifold, Journal of Functional Analysis, vol.109, issue.2, pp.257-288, 1992.
DOI : 10.1016/0022-1236(92)90019-F

I. Gyöngy and N. V. Krylov, On the splitting-up method and stochastic partial differential equations , The Annals of Probability, pp.31-33, 2003.

I. Gyöngy and N. V. Krylov, An Accelerated Splitting-up Method for Parabolic Equations, SIAM Journal on Mathematical Analysis, vol.37, issue.4, pp.1070-1097, 2005.
DOI : 10.1137/S0036141003437903

N. Krylov and B. Rosovskii, Stochastic evolution equations, Journal of Soviet Mathematics, vol.66, issue.No. 2, pp.1233-1277, 1981.
DOI : 10.1007/BF01084893

N. Nagase, Remarks on Nonlinear Stochastic Partial Differential Equations: An Application of the Splitting-Up Method, SIAM Journal on Control and Optimization, vol.33, issue.6, pp.1716-1730, 1995.
DOI : 10.1137/S036301299324618X

J. Printems, On the discretization in time of parabolic stochastic partial differential equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.35, issue.6, pp.1055-1078, 2001.
DOI : 10.1051/m2an:2001148

B. Schmalfuss, Qualitative properties for the stochastic Navier-Stokes equation, Nonlinear Analysis: Theory, Methods & Applications, vol.28, issue.9, pp.1545-1563, 1997.
DOI : 10.1016/S0362-546X(96)00015-6

S. S. Sritharan and P. Sundar, Large deviations for the two-dimensional Navier-Stokes Equations with multiplicative noise, Stochastic Process, Appl, vol.116, issue.11, pp.1636-1659, 2006.

. R. Temam and . Navier-, Stokes Equations and nonlinear functional analysis, CBMS- NSF Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics (SIAM), vol.41, 1983.

. R. Temam and . Navier-stokes-equations, Theory and numerical analysis, Studies in Mathematics and its Applications, vol.2, 1979.

V. L. Yudovich, Uniqueness Theorem for the Basic Nonstationary Problem in the Dynamics of an Ideal Incompressible Fluid, Mathematical Research Letters, vol.2, issue.1, pp.27-38, 1995.
DOI : 10.4310/MRL.1995.v2.n1.a4