E. Godlewski and P. A. Raviart, Numerical Approximation of Hyperbolic Systems of Conservation Laws, Number n 118 in Applied Mathematical Sciences, 1996.
DOI : 10.1007/978-1-4612-0713-9

L. Quartapelle, Numerical Solution of the Incompressible Navier-Stokes Equations, International Series of Numerical Mathematics. Birkhäuser Basel, 2013.
DOI : 10.1007/978-3-0348-8579-9

E. N. Lorenz, Empirical orthogonal functions and statistical weather prediction, Scientific Report, vol.1, 1956.

E. N. Lorenz, Maximum simplification of the dynamic equations, Tellus, vol.12, issue.3, pp.243-254, 1960.

E. N. Lorenz, Deterministic Nonperiodic Flow, Journal of the Atmospheric Sciences, vol.20, issue.2, pp.130-148, 1963.
DOI : 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2

M. Green and D. J. Limebeer, Linear Robust Control, Dover Books on Electrical Engineering, 2012.

C. Homescu, L. R. Petzold, and R. Serban, Error Estimation for Reduced???Order Models of Dynamical Systems, SIAM Review, vol.49, issue.2, pp.277-299, 2007.
DOI : 10.1137/070684392

K. Hasselmann, PIPs and POPs: The reduction of complex dynamical systems using principal interaction and oscillation patterns, Journal of Geophysical Research, vol.110, issue.D9, pp.11015-11021, 1988.
DOI : 10.1029/JD093iD09p11015

A. C. Antoulas, Approximation of Large-scale Dynamical Systems, Advances in Design and Control, Society for Industrial and Applied Mathematics, 2005.

L. Sirovich, Turbulence and the dynamics of coherent structures. I. Coherent structures, Quarterly of Applied Mathematics, vol.45, issue.3, pp.561-571, 1987.
DOI : 10.1090/qam/910462

D. Moreno, A. Krothapalli, M. B. Alkislar, and L. M. Lourenco, Low-dimensional model of a supersonic rectangular jet, Physical Review E, vol.69, issue.2, pp.1-12, 2004.
DOI : 10.1103/PhysRevE.69.026304

J. D. Adamo, N. Papadakis, E. Memin, and G. Artana, Variational assimilation of pod low-order dynamical systems, Journal of Turbulence, vol.8, issue.9, pp.1-22, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00596160

H. Storch and F. W. Zwiers, Statistical Analysis in Climate Research, 2001.
DOI : 10.1017/CBO9780511612336

R. Robert, V. Vargas, L. Chevillard, R. Robert, and V. Vargas, Hydrodynamic turbulence and intermittent random fields A stochastic representation of the local structure of turbulence, Communications in Mathematical Physics EPLEurophysics Letters), vol.28415, issue.89 5, pp.649-673, 2008.

P. Heas, F. Lavancier, and S. K. Harouna, Self-Similar Prior and Wavelet Bases for Hidden Incompressible Turbulent Motion, SIAM Journal on Imaging Sciences, vol.7, issue.2, pp.1171-1209, 2014.
DOI : 10.1137/130926444

URL : https://hal.archives-ouvertes.fr/hal-00793461

P. Heas, E. Herzet, . Memin, D. Heitz, and P. D. Mininni, Bayesian Estimation of Turbulent Motion, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.35, issue.6, pp.1343-56, 2013.
DOI : 10.1109/TPAMI.2012.232

URL : https://hal.archives-ouvertes.fr/hal-00745814

E. L. Lehmann and G. Casella, Theory of Point Estimation, 2003.

R. M. Johnson, On a theorem stated by eckart and young, Psychometrika, vol.19, issue.3, pp.259-263, 1963.
DOI : 10.1007/BF02289573

M. Briers, A. Doucet, and S. Maskell, Smoothing algorithms for state???space models, Annals of the Institute of Statistical Mathematics, vol.4, issue.4, pp.61-89, 2010.
DOI : 10.1007/s10463-009-0236-2

W. E. Arnoldi, The principle of minimized iterations in the solution of the matrix eigenvalue problem, Quarterly of Applied Mathematics, vol.9, issue.1, pp.17-29, 1951.
DOI : 10.1090/qam/42792

J. Carlier and B. Wieneke, Report 1 on production and diffusion of fluid mechanics images and data, 2005.

B. Horn and B. Schunck, Determining optical flow, Artificial Intelligence, vol.17, issue.1-3, pp.185-203, 1981.
DOI : 10.1016/0004-3702(81)90024-2