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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 | ||
| ||