Existence and uniqueness of optimal control to the Navier-Stokes equations;Existence et unicité du contrôle optimal des équations de Navier-Stokes

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 11, 2000, Pages 1007-1011

  Bewley, Thomas ^a   Temam, Roger ^b   Ziane, Mohammed ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITÉ PARIS SACLAY   (France)

^c TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196169     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00299-8     Document Type: Article

References (10)

1. [1] Abergel F., Temam R., On some control problems in fluid mechanics, Th. and Comput. Fluid Dynam. 1 (1990) 303-325.
2. [2] Abergel F., Temam R., Optimal control of turbulent flows, in: Optimal Control of Viscous Flow, Sritharan S.S. (Ed.), SIAM, Philadelphia, 1998, pp. 97-107.
3. [3] Bewley T., Liu S., Optimal and robust control and estimation of linear paths to transition, (to appear).
4. [4] Bewley T., Moin P., Temam R., DNS-based predictive control of turbulence: an optimal target for feedback algorithms, (to appear).
5. [5] Bewley T., Temam R. Ziane M., A general framework for robust control in fluid mechanics, (to appear).
6. [6] Bewley T., Temam R., Ziane M., Approximation of some classical and robust control problems, (in preparation).
7. [7] Ekeland I., Temam R., Convex Analysis and Variational Problems, Dunod, 1974, Reedited in the Series "Classics in Applied Mathematics", SIAM, Philadelphia, 1999.
8. [8] Lions J.-L., Quelques méthodes de résolution des problèmes non linéaires, Gauthier-Villars, Paris, 1969.
9. [9] Lions J.-L., Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, Paris, 1969; English translation, Springer-Verlag, New York, 1973.
10. [10] Temam R., Navier-Stokes Equations, Studies in Mathematics and its Applications, 2, North-Holland, Amsterdam, 1984.