@article{AFST_1993_6_2_2_205_0, author = {Fursikov, Andrei V. and Imanuvilov, Oleg Yu}, title = {On approximate controllability of the {Stokes} system}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {205--232}, publisher = {Universit\'e Paul Sabatier}, address = {Toulouse}, volume = {Ser. 6, 2}, number = {2}, year = {1993}, mrnumber = {1253389}, zbl = {0925.93416}, language = {en}, url = {http://www.numdam.org/item/AFST_1993_6_2_2_205_0/} }
TY - JOUR AU - Fursikov, Andrei V. AU - Imanuvilov, Oleg Yu TI - On approximate controllability of the Stokes system JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1993 SP - 205 EP - 232 VL - 2 IS - 2 PB - Université Paul Sabatier PP - Toulouse UR - http://www.numdam.org/item/AFST_1993_6_2_2_205_0/ LA - en ID - AFST_1993_6_2_2_205_0 ER -
%0 Journal Article %A Fursikov, Andrei V. %A Imanuvilov, Oleg Yu %T On approximate controllability of the Stokes system %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1993 %P 205-232 %V 2 %N 2 %I Université Paul Sabatier %C Toulouse %U http://www.numdam.org/item/AFST_1993_6_2_2_205_0/ %G en %F AFST_1993_6_2_2_205_0
Fursikov, Andrei V.; Imanuvilov, Oleg Yu. On approximate controllability of the Stokes system. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 2 (1993) no. 2, pp. 205-232. http://www.numdam.org/item/AFST_1993_6_2_2_205_0/
[1] Elliptic boundary value problems with parameter and general parabolic boundary value problem, Russian Math. Surveys 19, n° 3 (1964), pp. 53-161. | MR | Zbl
) and ) .-[2] Sur la contrôlatilité approchée des inéquations variationnelles et d'autres problèmes paraboliques non linéaires, C.R. Acad. Sci. Paris 312, Série I (1991), pp. 519-522. | MR | Zbl
) .-[3] On the conjecture due to J.-L. Lions concerning weak controllability for Navier-Stokes flows, To appear in Nonlinear Analysis.
) and ) .-[4] Lagrange principle for problems of optimal control of illposed or singular distributed systems, J. Math. Pure et Appl. 71, n° 2 (1992), pp. 139-195. | MR | Zbl
) .-[5] On ∈-controllability of the Stokes problem with distributed control concentrated in a subdomain, Russian Math. Surveys 47, n° 1 (1992), pp. 255-256. | MR | Zbl
) and ) .-[6] The mathematical theory of viscous incompressible flow, Gordon and Breach, New York (1963). | MR | Zbl
) .-[7] Remarques sur la contrôlabilité approchée, In Proceedings of the "Jordanas Hispano-Francesas sobre control de sistemas distribuidos", University of Malaga (Spain), October 1990. | MR | Zbl
) . -[8] Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, Paris (1968). | MR | Zbl
) .-[9] Are there connections between turbulence and controllability? Analyse et Optimisation des Systèmes, Springer-Verlag, Lecture Notes in Control and Information Series 144 (1990).
) .-[10] Problèmes aux limites non homogènes et applications, Dunod, Paris (1968). | Zbl
) and ) . -[11] Even more states reacheable by boundary control for the heat equation, SIAM J. Control and Optimization 24, n° 6 (1986), pp. 1319-1322. | MR | Zbl
) .-[12] Estimates of Green tensor for certain boundary problems, Dokl. Acad. Nauk SSSR, 130 (1960), pp. 988-991. | MR | Zbl
) . -[13] Estimates of solutions of unsteady linearized system of Navier-Stokes equations, Proc. of Math. Inst. of Acad. of Sciences USSR 70 (1964), pp. 213-317. | MR | Zbl
) .-[14] On general boundary problems for elliptic systems in Douglis-Nirenberg sense, I, Proc. Acad. of Sciences of USSR Serie Math. 28 (1964), pp. 665.670; II, Proc. Math. Inst. Acad. Sciences USSR Serie Math. 92 (1966) pp. 233-297. | MR | Zbl
) .-[15] Navier-Stokes equations, theory and numerical analysis, North-Holland Publishing Company, Amsterdam (1979). | Zbl
) .-[16] Mathematical problems of statistical hydromechanics, Kluwer Academic Publishers, Dordrecht (1988). | Zbl
) and ) .-