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[null,"1.","Record Nr.",null,"UNINA9910480400503321"]
[null,null,"Autore",null,"Barbu Viorel"]
[null,null,"Titolo",null,"Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2006]"]
[{"$nulls":4},"©2006"]
[null,null,"ISBN",null,"1-4704-0456-7"]
[null,null,"Descrizione fisica",null,"1 online resource (146 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 852"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"515/.353"]
[null,null,"Soggetti",null,"Navier-Stokes equations"]
[{"$nulls":4},"Boundary layer"]
[{"$nulls":4},"Mathematical optimization"]
[{"$nulls":4},"Riccati equation"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 181, number 852 (first of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Acknowledgements\"\"; \"\"Chapter 1. Introduction\"\"; \"\"Chapter 2. Main results\"\"; \"\"Chapter 3. Proof of Theorems 2.1 and 2.2 on the linearized system ( 2.4): d = 3\"\"; \"\"3.1. Abstract models of the linearized problem ( 2.3). Regularity \"\"; \"\"3.2. The operator D*A, D*:Hâ??(L[sup(2)](T))[sub(D)]\"\"; \"\"3.3. A critical boundary property related to the boundary c.c. in ( 3.1.2e) \"\"; \"\"3.4. Some technical preliminaries;  space and system decomposition \"\""]
[{"$nulls":4},"\"\"3.5. Theorem 2.1, general case d = 3: An infinite-dimensional openâ€?loop boundary controller g satisfying the FCC (3.1.22)â€?(3.1.24) for the linearized systemâ€?\"\"\"\"3.6. Feedback stabilization of the unstable [sub(Z)]Nâ€?system ( 3.4.9) on Z[sup(u)][sub(N)] under the FDSA\"\"; \"\"3.7. Theorem 2.2, case d = 3 under the FDSA: An openâ€?loop boundary controller g satisfying the FCC ( 3.1.22)â€?( 3.1.24) for the linearized systemâ€?\"\""]
[{"$nulls":4},"\"\"Chapter 4. Boundary feedback uniform stabilization of the linearized system( 3.1.4) via an optimal control problem and corresponding Riccati theory. Case d = 3\"\"\"\"4.0. Orientation\"\"; \"\"4.1. The optimal control problem ( Case d = 3)\"\"; \"\"4.2. Optimal feedback dynamics: the feedback semigroup and its generator on W\"\"; \"\"4.3. Feedback synthesis "]
[{"$nulls":4},"via the Riccati operator\"\"; \"\"4.4. Identification of the Riccati operator R in ( 4.1.8) with the operator R[sub(1)] in ( 4.3.1)\"\""]
[{"$nulls":4},"\"\"4.5. A Riccatiâ€?type algebraic equation satisfied by the operator R on the domain D(A[sup2)][Sub(R)], Where A[sub(R)] is the feedback generator\"\"\"\"Chapter 5. Theorem 2.3(i): Wellâ€?posedness of the Navierâ€?Stokes equations with Riccatiâ€?based boundary feedback control. Case d = 3 \"\"; \"\"Chapter 6. Theorem 2.3(ii): Local uniform stability of the Navierâ€?Stokes equations with Riccatiâ€?based boundary feedback control\"\"; \"\"Chapter 7. A PDEâ€?interpretation of the abstract results in Sections 5 and 6\"\"; \"\"Appendix A. Technical Material Complementing Section 3.1\"\""]
[{"$nulls":4},"\"\"B.3. Completion of the proof of Theorem 2.5 and Theorem 2.6 for the Nâ€?S model (1.1), d = 2\"\""]