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Autore: | Ammari Kaïs |
Titolo: | Stabilization of Kelvin-Voigt damped systems / / Kaïs Ammari and Fathi Hassine |
Pubblicazione: | Cham, Switzerland : , : Birkhäuser, , [2022] |
©2022 | |
Descrizione fisica: | 1 online resource (156 pages) |
Disciplina: | 534.42 |
Soggetto topico: | Damping (Mechanics) |
Estabilitat | |
Mecànica | |
Soggetto genere / forma: | Llibres electrònics |
Persona (resp. second.): | HassineFathi |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | Intro -- Preface -- Contents -- 1 Preliminaries -- 1.1 Semigroups of Bounded Linear Operators -- 1.1.1 Basic Properties -- 1.2 Stability -- 1.2.1 Strong Stability -- 1.2.2 Exponential Stability -- 1.2.3 Polynomial Stability -- 1.2.4 Logarithmic Stability -- 2 Stability of Elastic Transmission Systems with a Local Kelvin-Voigt Damping -- 2.1 Introduction -- 2.2 Transversal Motion -- 2.3 Longitudinal Motion -- 3 Stabilization for the Wave Equation with Singular Kelvin-Voigt Damping -- 3.1 Introduction and Main Results -- 3.2 Well-posedness and Strong Stability -- 3.3 Carleman Estimate -- 3.4 Stabilization Result -- 4 Logarithmic Stabilization of the Euler-Bernoulli Transmission Plate Equation with Locally Distributed Kelvin-Voigt Damping -- 4.1 Introduction -- 4.2 Model and Statement of Results -- 4.3 Existence and Uniqueness -- 4.4 Carleman Estimate and Construction of the Weight Functions -- 4.4.1 Carleman Estimate -- 4.4.2 Construction of the Weight Functions -- 4.5 Resolvent Estimate -- 5 Energy Decay Estimates of Elastic Transmission Wave/Beam Systems with a Local Kelvin-Voigt Damping -- 5.1 Introduction and Motivation -- 5.2 Preliminary and Main Results -- 5.3 Damping Arising from the Transversal Motion -- 5.4 Damping Arising from the Longitudinal Motion -- 5.5 Non-exponential Stability -- 5.5.1 Case When the Damping Arising from the Wave Equation -- 5.5.2 Case When the Damping Arising from the Beam Equation -- 6 Asymptotic Behavior of the Transmission Euler-Bernoulli Plate and Wave Equation with a Localized Kelvin-Voigt Damping -- 6.1 Introduction -- 6.1.1 The Method of Analysis -- 6.2 Existence and Uniqueness -- 6.3 Carleman Estimate Near the Surface -- 6.4 Resolvent Estimate -- 7 Conclusion and Perspectives -- References. |
Titolo autorizzato: | Stabilization of Kelvin-Voigt damped systems |
ISBN: | 3-031-12519-3 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996490343603316 |
Lo trovi qui: | Univ. di Salerno |
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