Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani

• Autore: Barbu Viorel
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2006]; ©2006
• Descrizione fisica: 1 online resource (146 p.)
• Disciplina: 510 s; 515/.353
• Soggetto topico: Navier-Stokes equations; Boundary layer; Mathematical optimization; Riccati equation
• Persona (resp. second.): LasieckaI <1948-> (Irena); TriggianiR <1942-> (Roberto)
• Note generali: "Volume 181, number 852 (first of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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 "" ; ""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€?"" ; ""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 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)"" ; ""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"" ; ""B.3. Completion of the proof of Theorem 2.5 and Theorem 2.6 for the Nâ€?S model (1.1), d = 2""
• Titolo autorizzato: Tangential boundary stabilization of Navier-Stokes equations
• ISBN: 1-4704-0456-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788741903321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 852.