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Volumn 181, Issue 852, 2006, Pages 1-136

Tangential boundary stabilization of navier -stokes equations

Author keywords

Boundary feedback controller; Boundary feedback stabilization; Navier stokes equations; Optimal control; Riccati equation; Steady state solution

Indexed keywords


EID: 33646418677     PISSN: 00659266     EISSN: None     Source Type: Journal    
DOI: 10.1090/memo/0852     Document Type: Article
Times cited : (118)

References (37)
  • 1
    • 84968483685 scopus 로고
    • Genericity of simple eigenvalues for elliptic pde's
    • [A.1]
    • [A.1] J. H. Albert, Genericity of simple eigenvalues for elliptic pde's, Proc. AMS 48(2) (1975), 413-418.
    • (1975) Proc. AMS , vol.48 , Issue.2 , pp. 413-418
    • Albert, J.H.1
  • 2
    • 0010034941 scopus 로고
    • Orthogonal decomposition and bases for 3-D vector fields
    • [Au.1]
    • [Au.1] G. Auchmuty, Orthogonal decomposition and bases for 3-D vector fields, Num. Funct. Anal. Optimiz. 15 (1994), 445-488.
    • (1994) Num. Funct. Anal. Optimiz , vol.15 , pp. 445-488
    • Auchmuty, G.1
  • 4
    • 0141480294 scopus 로고    scopus 로고
    • Feedback stabilization of navier-stokes equations
    • [B.1]
    • [B.1] V. Barbu, Feedback stabilization of Navier-Stokes equations, ESAIM COCV 9 (2003), 197-206.
    • (2003) ESAIM COCV , vol.9 , pp. 197-206
    • Barbu, V.1
  • 5
    • 11044220111 scopus 로고    scopus 로고
    • Internal stabilization of navier-stokes equations with finite-dimensional controllers
    • [B-T.1]
    • [B-T.1] V. Barbu, R. Triggiani, Internal stabilization of Navier-Stokes equations with finite-dimensional controllers, Indiana University Mathematics Journal, 53(5) (2004), 1443-1494.
    • (2004) Indiana University Mathematics Journal , vol.53 , Issue.5 , pp. 1443-1494
    • Barbu, V.1    Triggiani, R.2
  • 9
    • 0000809451 scopus 로고
    • Algebraic riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
    • [F-L-T.1]
    • [F-L-T.1] F. Flandoli, I. Lasiecka, R. Triggiani, Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems, Ann. Math. Pura e Appl. CLIII (1988), 307-382.
    • (1988) Ann. Math. Pura e Appl. , vol.153 , pp. 307-382
    • Flandoli, F.1    Lasiecka, I.2    Triggiani, R.3
  • 10
    • 33646407655 scopus 로고
    • Remarques sur les equations de navier-stokes stationaires el les phenomenes successifs de bifurcation
    • [F-T.1], Pisa
    • [F-T.1] C. Foias, R. Teman, Remarques sur les equations de Navier-Stokes stationaires el les phenomenes successifs de bifurcation, Annali Scuola Normale Sup., Pisa 1 (1978), 26-53.
    • (1978) Annali Scuola Normale Sup. , vol.1 , pp. 26-53
    • Foias, C.1    Teman, R.2
  • 11
    • 0346820643 scopus 로고    scopus 로고
    • Local exact boundary controllability of the navier-stokes system
    • [F-I.1]
    • [F-I.1] A. V. Fursikov, O. A. Imanuvilov, Local exact boundary controllability of the Navier-Stokes system, Contemp. Math. 209 (1997), 115-129.
    • (1997) Contemp. Math. , vol.209 , pp. 115-129
    • Fursikov, A.V.1    Imanuvilov, O.A.2
  • 12
    • 0002427074 scopus 로고    scopus 로고
    • Exact controllability of the navier-stokes and Boussinesq equations
    • [F-I.2]
    • [F-I.2] A. V. Fursikov, O. A. Imanuvilov, Exact controllability of the Navier-Stokes and Boussinesq equations, Russian Math. Surveys 54 (1999), 565-618.
    • (1999) Russian Math. Surveys , vol.54 , pp. 565-618
    • Fursikov, A.V.1    Imanuvilov, O.A.2
  • 13
    • 0742280536 scopus 로고    scopus 로고
    • Real processes to the 3D navier-stokes systems, and its feedback stabilization from the boundary
    • [F.1], Amer. Math. Soc. Translations, Series 2, Mark Vishik's Seminar; M. S. Agranovich, M. A. Shubin, editors
    • [F.1] A. V. Fursikov, Real processes to the 3D Navier-Stokes systems, and its feedback stabilization from the boundary, in Amer. Math. Soc. Translations, Series 2, Vol. 206, Partial Differential Equations, Mark Vishik's Seminar; M. S. Agranovich, M. A. Shubin, editors (2002), pp. 95-123.
    • (2002) Partial Differential Equations , vol.206 , pp. 95-123
    • Fursikov, A.V.1
  • 14
    • 28444485538 scopus 로고    scopus 로고
    • Feedback stabilization for the 2D Oseen equations: Additional remarks
    • th Conference on Control of Distributed Parameter Systems, Birkhäuser-Verlag
    • th Conference on Control of Distributed Parameter Systems, Int. Ser. Numerical Math., Birkhäuser-Verlag 143 (2002), 169-187.
    • (2002) Int. Ser. Numerical Math. , vol.143 , pp. 169-187
    • Fursikov, A.V.1
  • 15
    • 2142828453 scopus 로고    scopus 로고
    • Stabilization for the 3D navier-stokes system by feedback boundary control
    • [F.3]
    • [F.3] A. V. Fursikov, Stabilization for the 3D Navier-Stokes system by feedback boundary control, Discrete and Contin. Dynam. Systems 10(1&2) (2004), 289-314.
    • (2004) Discrete and Contin. Dynam. Systems , vol.10 , Issue.1-2 , pp. 289-314
    • Fursikov, A.V.1
  • 17
    • 0003301335 scopus 로고
    • Introduction to the theory of linear non-selfadjoint operators
    • [G-K.1], Amer. Math. Soc.
    • [G-K.1] I. C. Goberg and M. G. Krein, Introduction to the Theory of Linear Non-selfadjoint Operators, Vol. 18, Translations of Mathematical Monographs, Amer. Math. Soc., 1969.
    • (1969) Translations of Mathematical Monographs , vol.18
    • Goberg, I.C.1    Krein, M.G.2
  • 22
    • 2942567144 scopus 로고    scopus 로고
    • Control Theory for Partial Differential Equations: Continuous and Approximation Theory
    • [L-T.2], Cambridge University Press
    • [L-T.2] I. Lasiecka and R. Triggiani, Control Theory for Partial Differential Equations: Continuous and Approximation Theory, Vol. 1 (680 pp.), Vol. 2 (422 pp.), Encyclopedia of Mathematics and its Applications, Cambridge University Press, 2000.
    • (2000) Encyclopedia of Mathematics and Its Applications , vol.1-2 , pp. 680
    • Lasiecka, I.1    Triggiani, R.2
  • 24
    • 0001106398 scopus 로고
    • Perturbazione dello spettro dell' operatore di laplace in relazione ad una variazione del campo
    • [M.1], Pisa
    • [M.1] A. M. Micheletti, Perturbazione dello spettro dell' operatore di Laplace in relazione ad una variazione del campo, Ann. Scuola Normal Super., Pisa 26(3) (1972), 151-169.
    • (1972) Ann. Scuola Normal Super , vol.26 , Issue.3 , pp. 151-169
    • Micheletti, A.M.1
  • 30
    • 33646402154 scopus 로고
    • [Te.1], Studies in Mathematics and its Applications, North-Holland Publishing Co., Amsterdam
    • [Te.1] R. Temam, Navier-Stokes Equations, Studies in Mathematics and its Applications, Vol. 2, North-Holland Publishing Co., Amsterdam, 1979.
    • (1979) Navier-Stokes Equations , vol.2
    • Temam, R.1
  • 33
    • 0016589884 scopus 로고
    • On the stabilizability problem in Banach spaces
    • [T.1]
    • [T.1] R. Triggiani, On the stabilizability problem in Banach spaces, J. Math. Anal. Appl. (1975), 383-403.
    • (1975) J. Math. Anal. Appl. , pp. 383-403
    • Triggiani, R.1
  • 34
    • 0019164651 scopus 로고
    • Boundary feedback stabilizability of parabolic equations
    • [T.2]
    • [T.2] R. Triggiani, Boundary feedback stabilizability of parabolic equations, Appl. Math. Optimiz. 6 (1980), 201-220.
    • (1980) Appl. Math. Optimiz. , vol.6 , pp. 201-220
    • Triggiani, R.1
  • 35
    • 33646430392 scopus 로고
    • On the relationship between the optimal quadratic cost problems in an infinite horizon, and on a finite horizon with final time penalization: The abstract hyperbolic case
    • [T.3], Optimal Control of Differential Equations, edited by N. Pavel, Marcel Dekker
    • [T.3] R. Triggiani, On the relationship between the optimal quadratic cost problems in an infinite horizon, and on a finite horizon with final time penalization: The abstract hyperbolic case, in Optimal Control of Differential Equations, edited by N. Pavel, Lecture Notes in Pure and Applied Mathematics, vol. 160, Marcel Dekker 1994, pp. 311-323.
    • (1994) Lecture Notes in Pure and Applied Mathematics , vol.160 , pp. 311-323
    • Triggiani, R.1
  • 36
    • 0001489944 scopus 로고    scopus 로고
    • Generic properties of eigenfunctions
    • [U.1], (197)
    • [U.1] K. Uhlenbeck, Generic properties of eigenfunctions, Amer. J. Math. 98(4) (197), 1059-1078.
    • Amer. J. Math. , vol.98 , Issue.4
    • Uhlenbeck, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.