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Differential geometric methods in the control of partial differential equations : 1999 AMS-IMS-SIAM Joint Summer Research Conference on Differential Geometric Methods in the Control of Partial Differential Equations, University of Colorado, Boulder, June 27-July 1, 1999 / / Robert Gulliver, Walter Littman, Roberto Triggiani, editors
| Differential geometric methods in the control of partial differential equations : 1999 AMS-IMS-SIAM Joint Summer Research Conference on Differential Geometric Methods in the Control of Partial Differential Equations, University of Colorado, Boulder, June 27-July 1, 1999 / / Robert Gulliver, Walter Littman, Roberto Triggiani, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (418 p.) |
| Disciplina | 515/.35 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Boundary value problems - Numerical solutions
Differential equations, Partial - Numerical solutions Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7858-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Wellposedness of a structural acoustics model with point control""; ""Intrinsic geometric model for the vibration of a constrained shell""; ""A noise reduction problem arising in structural acoustics: A three-dimensional solution""; ""The free boundary problem in the optimization of composite membranes""; ""Tangential differential calculus and functional analysis on a C1,1 submanifold""; ""Carleman estimates with two large parameters and applications""; ""On the prescribed Scalar curvature problem on compact manifolds with boundary""
""Chord uniqueness and controllability: The view from the boundary, I""""Nonlinear boundary stabilization of a system of anisotropic elasticity with light internal damping""; ""Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems""; ""Nonconservative wave equations with unobserved Neumann B. C.: Global uniqueness and observability in one shot""; ""Uniform stability of a coupled structural acoustic system with thermoelastic effects and weak structural damping"" ""Topological derivative for nucleation of non-circular voids. The Neumann problem""""Remarks on global uniqueness theorems for partial differential equations""; ""Evolution of a graph by Levi form""; ""Observability inequalities for the Euler-Bernoulli plate with variable coefficients"" |
| Record Nr. | UNINA-9910480262403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometric methods in the control of partial differential equations : 1999 AMS-IMS-SIAM Joint Summer Research Conference on Differential Geometric Methods in the Control of Partial Differential Equations, University of Colorado, Boulder, June 27-July 1, 1999 / / Robert Gulliver, Walter Littman, Roberto Triggiani, editors
| Differential geometric methods in the control of partial differential equations : 1999 AMS-IMS-SIAM Joint Summer Research Conference on Differential Geometric Methods in the Control of Partial Differential Equations, University of Colorado, Boulder, June 27-July 1, 1999 / / Robert Gulliver, Walter Littman, Roberto Triggiani, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (418 p.) |
| Disciplina | 515/.35 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Boundary value problems - Numerical solutions
Differential equations, Partial - Numerical solutions Geometry, Differential |
| ISBN | 0-8218-7858-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Wellposedness of a structural acoustics model with point control""; ""Intrinsic geometric model for the vibration of a constrained shell""; ""A noise reduction problem arising in structural acoustics: A three-dimensional solution""; ""The free boundary problem in the optimization of composite membranes""; ""Tangential differential calculus and functional analysis on a C1,1 submanifold""; ""Carleman estimates with two large parameters and applications""; ""On the prescribed Scalar curvature problem on compact manifolds with boundary""
""Chord uniqueness and controllability: The view from the boundary, I""""Nonlinear boundary stabilization of a system of anisotropic elasticity with light internal damping""; ""Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems""; ""Nonconservative wave equations with unobserved Neumann B. C.: Global uniqueness and observability in one shot""; ""Uniform stability of a coupled structural acoustic system with thermoelastic effects and weak structural damping"" ""Topological derivative for nucleation of non-circular voids. The Neumann problem""""Remarks on global uniqueness theorems for partial differential equations""; ""Evolution of a graph by Levi form""; ""Observability inequalities for the Euler-Bernoulli plate with variable coefficients"" |
| Record Nr. | UNINA-9910788655103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometric methods in the control of partial differential equations : 1999 AMS-IMS-SIAM Joint Summer Research Conference on Differential Geometric Methods in the Control of Partial Differential Equations, University of Colorado, Boulder, June 27-July 1, 1999 / / Robert Gulliver, Walter Littman, Roberto Triggiani, editors
| Differential geometric methods in the control of partial differential equations : 1999 AMS-IMS-SIAM Joint Summer Research Conference on Differential Geometric Methods in the Control of Partial Differential Equations, University of Colorado, Boulder, June 27-July 1, 1999 / / Robert Gulliver, Walter Littman, Roberto Triggiani, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (418 p.) |
| Disciplina | 515/.35 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Boundary value problems - Numerical solutions
Differential equations, Partial - Numerical solutions Geometry, Differential |
| ISBN | 0-8218-7858-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Wellposedness of a structural acoustics model with point control""; ""Intrinsic geometric model for the vibration of a constrained shell""; ""A noise reduction problem arising in structural acoustics: A three-dimensional solution""; ""The free boundary problem in the optimization of composite membranes""; ""Tangential differential calculus and functional analysis on a C1,1 submanifold""; ""Carleman estimates with two large parameters and applications""; ""On the prescribed Scalar curvature problem on compact manifolds with boundary""
""Chord uniqueness and controllability: The view from the boundary, I""""Nonlinear boundary stabilization of a system of anisotropic elasticity with light internal damping""; ""Carleman estimate with the Neumann boundary condition and its applications to the observability inequality and inverse hyperbolic problems""; ""Nonconservative wave equations with unobserved Neumann B. C.: Global uniqueness and observability in one shot""; ""Uniform stability of a coupled structural acoustic system with thermoelastic effects and weak structural damping"" ""Topological derivative for nucleation of non-circular voids. The Neumann problem""""Remarks on global uniqueness theorems for partial differential equations""; ""Evolution of a graph by Levi form""; ""Observability inequalities for the Euler-Bernoulli plate with variable coefficients"" |
| Record Nr. | UNINA-9910817969503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani
| Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani |
| Autore | Barbu Viorel |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Navier-Stokes equations
Boundary layer Mathematical optimization Riccati equation |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0456-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 open�loop boundary controller g satisfying the FCC (3.1.22)�(3.1.24) for the linearized system�""""3.6. Feedback stabilization of the unstable [sub(Z)]N�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 open�loop boundary controller g satisfying the FCC ( 3.1.22)�( 3.1.24) for the linearized system�"" ""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 Riccati�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): Well�posedness of the Navier�Stokes equations with Riccati�based boundary feedback control. Case d = 3 ""; ""Chapter 6. Theorem 2.3(ii): Local uniform stability of the Navier�Stokes equations with Riccati�based boundary feedback control""; ""Chapter 7. A PDE�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 N�S model (1.1), d = 2"" |
| Record Nr. | UNINA-9910480400503321 |
Barbu Viorel
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani
| Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani |
| Autore | Barbu Viorel |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Navier-Stokes equations
Boundary layer Mathematical optimization Riccati equation |
| ISBN | 1-4704-0456-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 open�loop boundary controller g satisfying the FCC (3.1.22)�(3.1.24) for the linearized system�""""3.6. Feedback stabilization of the unstable [sub(Z)]N�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 open�loop boundary controller g satisfying the FCC ( 3.1.22)�( 3.1.24) for the linearized system�"" ""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 Riccati�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): Well�posedness of the Navier�Stokes equations with Riccati�based boundary feedback control. Case d = 3 ""; ""Chapter 6. Theorem 2.3(ii): Local uniform stability of the Navier�Stokes equations with Riccati�based boundary feedback control""; ""Chapter 7. A PDE�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 N�S model (1.1), d = 2"" |
| Record Nr. | UNINA-9910788741903321 |
|
Barbu Viorel
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani
| Tangential boundary stabilization of Navier-Stokes equations / / Viorel Barbu, Irena Lasiecka, Roberto Triggiani |
| Autore | Barbu Viorel |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Navier-Stokes equations
Boundary layer Mathematical optimization Riccati equation |
| ISBN | 1-4704-0456-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 open�loop boundary controller g satisfying the FCC (3.1.22)�(3.1.24) for the linearized system�""""3.6. Feedback stabilization of the unstable [sub(Z)]N�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 open�loop boundary controller g satisfying the FCC ( 3.1.22)�( 3.1.24) for the linearized system�"" ""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 Riccati�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): Well�posedness of the Navier�Stokes equations with Riccati�based boundary feedback control. Case d = 3 ""; ""Chapter 6. Theorem 2.3(ii): Local uniform stability of the Navier�Stokes equations with Riccati�based boundary feedback control""; ""Chapter 7. A PDE�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 N�S model (1.1), d = 2"" |
| Record Nr. | UNINA-9910829172703321 |
|
Barbu Viorel
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||