A nonstandard approach to a data assimilation problem;Une approche non classique d'un problème d'assimilation de données

Comptes Rendus Mathematique

Volumn 335, Issue 2, 2002, Pages 161-166

  Puel, Jean Pierre ^a  

^a UNIVERSITÉ DE VERSAILLES SAINT QUENTIN EN YVELINES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038053137     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02390-7     Document Type: Article

References (12)

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2. Ph. Courtier, O. Talagrand, Variational assimilation of meteorological observations with the adjoint vorticity equation. I: Theory, Q. J. R. Meteorol. Sec. 113 (1987) 1311-1328.
3. A. Dubova, A. Osses, J.-P. Puel, Exact controllability on trajectories for a transmission parabolic problem, à paraître dans ESAIM: Control Optim. Cale. Var., volume dedicated to the memory of Jacques-Louis Lions.
4. A. Fursikov, O. Imanuvilov, Controllability of Evolution Equations, Lecture Notes Series, Vol. 34, RIM-GARC, Seoul National University, 1996.
5. O. Imanuvilov, On exact controllability for the Navier-Stokes equations, ESAIM: Control Optim. Calc. Var. 3 (1998) 97-131, www.emath.fr/cocv/.
6. O. Imanuvilov, Remarks on exact controllability for Navier-Stokes equations, ESAIM: Control Optim. Calc. Var. 6 (2001) 39-72, www.emath.fr/cocv/.
7. O. Imanuvilov, J.-P. Puel, Global Carleman estimates for linearized Navier-Stokes equations and applications, en préparation.
8. O. Imanuvilov, M. Yamamoto, Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations, UTMS 98-46.
9. F.X. Le Dimet, Une étude générale d'analyse objective variationnelle des champs météorologiques, Rapport scientifique LAMP 28, Université de Clermont II, BP 45, 63170 Aubière, France, 1980.
10. F.X. Le Dimet, O. Talagrand, Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects, Tellus 38A (1986) 97-110.
11. J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin, 1971.
12. J.-P. Puel, A nonstandard approach to a data assimilation problem, à paraître.