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Long-time behavior of second order evolution equations with nonlinear damping / / Igor Chueshov, Irena Lasiecka
| Long-time behavior of second order evolution equations with nonlinear damping / / Igor Chueshov, Irena Lasiecka |
| Autore | Chueshov Igor <1951-2016, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (200 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Attractors (Mathematics)
Evolution equations, Nonlinear Differentiable dynamical systems |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0518-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Description of the problem studied""; ""1.2. The model and basic assumption""; ""1.3. Well-posedness""; ""Chapter 2. Abstract results on global attractors""; ""2.1. Criteria for asymptotic smoothness of dynamical systems""; ""2.2. Criteria for finite dimensionality of attractors""; ""2.3. Exponentially attracting positively invariant sets""; ""2.4. Gradient systems""; ""Chapter 3. Existence of compact global attractors for evolutions of the second order in time""; ""3.1. Ultimate dissipativity""
""3.2. Asymptotic smoothness: the main assumption""""3.3. Global attractors in subcritical case""; ""3.4. Global attractors in critical case""; ""Chapter 4. Properties of global attractors for evolutions of the second order in time""; ""4.1. Finite dimensionality of attractors""; ""4.2. Regularity of elements from attractors""; ""4.3. Rate of stabilization to equilibria""; ""4.4. Determining functionals""; ""4.5. Exponential fractal attractors (inertial sets)""; ""Chapter 5. Semilinear wave equation with a nonlinear dissipation""; ""5.1. The model""; ""5.2. Main results""; ""5.3. Proofs"" ""Chapter 6. Von Karman evolutions with a nonlinear dissipation""""6.1. The model""; ""6.2. Properties of von Karman bracket""; ""6.3. Abstract setting of the model""; ""6.4. Model with rotational forces: α > 0""; ""6.5. Non-rotational case α = 0""; ""Chapter 7. Other models from continuum mechanics""; ""7.1. Berger's plate model""; ""7.2. Mindlin-Timoshenko plates and beams""; ""7.3. Kirchhoff limit in Mindlin-Timoshenko plates and beams""; ""7.4. Systems with strong damping""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M"" ""N""""O""; ""P""; ""R""; ""S""; ""U"" |
| Record Nr. | UNINA-9910480527103321 |
Chueshov Igor <1951-2016, >
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Long-time behavior of second order evolution equations with nonlinear damping / / Igor Chueshov, Irena Lasiecka
| Long-time behavior of second order evolution equations with nonlinear damping / / Igor Chueshov, Irena Lasiecka |
| Autore | Chueshov Igor <1951-2016, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (200 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Attractors (Mathematics)
Evolution equations, Nonlinear Differentiable dynamical systems |
| ISBN | 1-4704-0518-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Description of the problem studied""; ""1.2. The model and basic assumption""; ""1.3. Well-posedness""; ""Chapter 2. Abstract results on global attractors""; ""2.1. Criteria for asymptotic smoothness of dynamical systems""; ""2.2. Criteria for finite dimensionality of attractors""; ""2.3. Exponentially attracting positively invariant sets""; ""2.4. Gradient systems""; ""Chapter 3. Existence of compact global attractors for evolutions of the second order in time""; ""3.1. Ultimate dissipativity""
""3.2. Asymptotic smoothness: the main assumption""""3.3. Global attractors in subcritical case""; ""3.4. Global attractors in critical case""; ""Chapter 4. Properties of global attractors for evolutions of the second order in time""; ""4.1. Finite dimensionality of attractors""; ""4.2. Regularity of elements from attractors""; ""4.3. Rate of stabilization to equilibria""; ""4.4. Determining functionals""; ""4.5. Exponential fractal attractors (inertial sets)""; ""Chapter 5. Semilinear wave equation with a nonlinear dissipation""; ""5.1. The model""; ""5.2. Main results""; ""5.3. Proofs"" ""Chapter 6. Von Karman evolutions with a nonlinear dissipation""""6.1. The model""; ""6.2. Properties of von Karman bracket""; ""6.3. Abstract setting of the model""; ""6.4. Model with rotational forces: α > 0""; ""6.5. Non-rotational case α = 0""; ""Chapter 7. Other models from continuum mechanics""; ""7.1. Berger's plate model""; ""7.2. Mindlin-Timoshenko plates and beams""; ""7.3. Kirchhoff limit in Mindlin-Timoshenko plates and beams""; ""7.4. Systems with strong damping""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M"" ""N""""O""; ""P""; ""R""; ""S""; ""U"" |
| Record Nr. | UNINA-9910788853103321 |
|
Chueshov Igor <1951-2016, >
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Long-time behavior of second order evolution equations with nonlinear damping / / Igor Chueshov, Irena Lasiecka
| Long-time behavior of second order evolution equations with nonlinear damping / / Igor Chueshov, Irena Lasiecka |
| Autore | Chueshov Igor <1951-2016, > |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (200 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Attractors (Mathematics)
Evolution equations, Nonlinear Differentiable dynamical systems |
| ISBN | 1-4704-0518-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Description of the problem studied""; ""1.2. The model and basic assumption""; ""1.3. Well-posedness""; ""Chapter 2. Abstract results on global attractors""; ""2.1. Criteria for asymptotic smoothness of dynamical systems""; ""2.2. Criteria for finite dimensionality of attractors""; ""2.3. Exponentially attracting positively invariant sets""; ""2.4. Gradient systems""; ""Chapter 3. Existence of compact global attractors for evolutions of the second order in time""; ""3.1. Ultimate dissipativity""
""3.2. Asymptotic smoothness: the main assumption""""3.3. Global attractors in subcritical case""; ""3.4. Global attractors in critical case""; ""Chapter 4. Properties of global attractors for evolutions of the second order in time""; ""4.1. Finite dimensionality of attractors""; ""4.2. Regularity of elements from attractors""; ""4.3. Rate of stabilization to equilibria""; ""4.4. Determining functionals""; ""4.5. Exponential fractal attractors (inertial sets)""; ""Chapter 5. Semilinear wave equation with a nonlinear dissipation""; ""5.1. The model""; ""5.2. Main results""; ""5.3. Proofs"" ""Chapter 6. Von Karman evolutions with a nonlinear dissipation""""6.1. The model""; ""6.2. Properties of von Karman bracket""; ""6.3. Abstract setting of the model""; ""6.4. Model with rotational forces: α > 0""; ""6.5. Non-rotational case α = 0""; ""Chapter 7. Other models from continuum mechanics""; ""7.1. Berger's plate model""; ""7.2. Mindlin-Timoshenko plates and beams""; ""7.3. Kirchhoff limit in Mindlin-Timoshenko plates and beams""; ""7.4. Systems with strong damping""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M"" ""N""""O""; ""P""; ""R""; ""S""; ""U"" |
| Record Nr. | UNINA-9910812439203321 |
|
Chueshov Igor <1951-2016, >
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimization methods in partial differential equations : proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mount Holyoke College / / Steven Cox, Irena Lasiecka, editors
| Optimization methods in partial differential equations : proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mount Holyoke College / / Steven Cox, Irena Lasiecka, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Mathematical optimization |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7800-X
0-8218-0604-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Boundary observability and controllability of linear elastodynamic systems""; ""Riblets and drag minimization""; ""Min-max problems for non-potential operator equations""; ""An infinite dimensional time optimal control problem""; ""Dirichlet problem for nonlinear first order partial differential equations""; ""Hidden boundary smoothness for some classes of differential equations on submanifolds""; ""Convergence to the asymptotic model for linear thin shells""; ""Variational formulation of optimal damping designs""
""Local exact boundary controllability of the Navier-Stokes system""""On uniqueness and stability in the Cauchy problem""; ""Augmented Lagrangian-SQP techniques and their approximations""; ""Recent progress and open problems in control of multi-link elastic structures""; ""Spatio-temporal control in the coefficients of linear hyperbolic equations""; ""Modified interior distance functions""; ""Optimal energy decay rate in a damped Rayleigh beam""; ""Approximate and exact formability of two-dimensional elastic structures; Complete and incomplete actuator families"" ""Displacement derivatives in shape optimization of thin shells""""Carleman estimates, unique continuation and controllability for anizotropic PDE's""; ""Navier-Stokes equations in thin spherical domains""; ""The algebraic Riccati equation with unbounded control operator: The abstract hyperbolic case revisited""; ""One-parameter families of solutions to a class of PDE optimal control problems"" |
| Altri titoli varianti | Optimization and partial differential equations |
| Record Nr. | UNINA-9910480307103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimization methods in partial differential equations : proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mount Holyoke College / / Steven Cox, Irena Lasiecka, editors
| Optimization methods in partial differential equations : proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mount Holyoke College / / Steven Cox, Irena Lasiecka, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Mathematical optimization |
| ISBN |
0-8218-7800-X
0-8218-0604-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Boundary observability and controllability of linear elastodynamic systems""; ""Riblets and drag minimization""; ""Min-max problems for non-potential operator equations""; ""An infinite dimensional time optimal control problem""; ""Dirichlet problem for nonlinear first order partial differential equations""; ""Hidden boundary smoothness for some classes of differential equations on submanifolds""; ""Convergence to the asymptotic model for linear thin shells""; ""Variational formulation of optimal damping designs""
""Local exact boundary controllability of the Navier-Stokes system""""On uniqueness and stability in the Cauchy problem""; ""Augmented Lagrangian-SQP techniques and their approximations""; ""Recent progress and open problems in control of multi-link elastic structures""; ""Spatio-temporal control in the coefficients of linear hyperbolic equations""; ""Modified interior distance functions""; ""Optimal energy decay rate in a damped Rayleigh beam""; ""Approximate and exact formability of two-dimensional elastic structures; Complete and incomplete actuator families"" ""Displacement derivatives in shape optimization of thin shells""""Carleman estimates, unique continuation and controllability for anizotropic PDE's""; ""Navier-Stokes equations in thin spherical domains""; ""The algebraic Riccati equation with unbounded control operator: The abstract hyperbolic case revisited""; ""One-parameter families of solutions to a class of PDE optimal control problems"" |
| Altri titoli varianti | Optimization and partial differential equations |
| Record Nr. | UNINA-9910788649603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimization methods in partial differential equations : proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mount Holyoke College / / Steven Cox, Irena Lasiecka, editors
| Optimization methods in partial differential equations : proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mount Holyoke College / / Steven Cox, Irena Lasiecka, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Mathematical optimization |
| ISBN |
0-8218-7800-X
0-8218-0604-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Boundary observability and controllability of linear elastodynamic systems""; ""Riblets and drag minimization""; ""Min-max problems for non-potential operator equations""; ""An infinite dimensional time optimal control problem""; ""Dirichlet problem for nonlinear first order partial differential equations""; ""Hidden boundary smoothness for some classes of differential equations on submanifolds""; ""Convergence to the asymptotic model for linear thin shells""; ""Variational formulation of optimal damping designs""
""Local exact boundary controllability of the Navier-Stokes system""""On uniqueness and stability in the Cauchy problem""; ""Augmented Lagrangian-SQP techniques and their approximations""; ""Recent progress and open problems in control of multi-link elastic structures""; ""Spatio-temporal control in the coefficients of linear hyperbolic equations""; ""Modified interior distance functions""; ""Optimal energy decay rate in a damped Rayleigh beam""; ""Approximate and exact formability of two-dimensional elastic structures; Complete and incomplete actuator families"" ""Displacement derivatives in shape optimization of thin shells""""Carleman estimates, unique continuation and controllability for anizotropic PDE's""; ""Navier-Stokes equations in thin spherical domains""; ""The algebraic Riccati equation with unbounded control operator: The abstract hyperbolic case revisited""; ""One-parameter families of solutions to a class of PDE optimal control problems"" |
| Altri titoli varianti | Optimization and partial differential equations |
| Record Nr. | UNINA-9910825809403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| 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 | ||
| ||