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Record Nr. |
UNINA9910595044403321 |
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Autore |
Ammari Kaïs |
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Titolo |
Stabilization of Kelvin-Voigt damped systems / / Kaïs Ammari and Fathi Hassine |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Birkhäuser, , [2022] |
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©2022 |
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ISBN |
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Descrizione fisica |
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1 online resource (156 pages) |
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Collana |
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Advances in Mechanics and Mathematics ; ; v.47 |
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Disciplina |
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Soggetti |
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Damping (Mechanics) |
Estabilitat |
Mecànica |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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