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Autore: |
Chueshov Igor <1951-2016, >
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Titolo: |
Long-time behavior of second order evolution equations with nonlinear damping / / Igor Chueshov, Irena Lasiecka
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Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
©2008 | |
Descrizione fisica: | 1 online resource (200 p.) |
Disciplina: | 514/.74 |
Soggetto topico: | Attractors (Mathematics) |
Evolution equations, Nonlinear | |
Differentiable dynamical systems | |
Soggetto genere / forma: | Electronic books. |
Persona (resp. second.): | LasieckaI <1948-> (Irena) |
Note generali: | "Volume 195, number 912 (third of 4 numbers )." |
"September 2008." | |
Nota di bibliografia: | Includes bibliographical references (pages 179-182) and index. |
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"" | |
Titolo autorizzato: | Long-time behavior of second order evolution equations with nonlinear damping ![]() |
ISBN: | 1-4704-0518-0 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910480527103321 |
Lo trovi qui: | Univ. Federico II |
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