| Dewey Class |
515.35 |
| Titel |
Stabilization of Kelvin-Voigt Damped Systems ( EBook/) / by Kaïs Ammari, Fathi Hassine. |
| Verfasser |
Ammari, Kaïs |
| Added Personal Name |
Hassine, Fathi |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2022. |
| Veröffentl |
Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2022. |
| Physical Details |
X, 150 p. 6 illus. in color. : online resource. |
| Reihe |
Advances in Mechanics and Mathematics 1876-9896 ; ; 47 |
| ISBN |
9783031125195 |
| Summary Note |
This monograph examines the stability of various coupled systems with local Kelvin-Voigt damping. The development of this area is thoroughly reviewed along with the authors’ contributions. New results are featured on the fundamental properties of solutions of linear transmission evolution PDEs involving Kelvin-Voigt damping, with special emphasis on the asymptotic behavior of these solutions. The vibrations of transmission problems are highlighted as well, making this a valuable resource for those studying this active area of research. The book begins with a brief description of the abstract theory of linear evolution equations with a particular focus on semigroup theory. Different types of stability are also introduced along with their connection to resolvent estimates. After this foundation is established, different models are presented for uni-dimensional and multi-dimensional linear transmission evolution partial differential equations with Kelvin-Voigt damping. Stabilization of Kelvin-Voigt Damped Systems will be a useful reference for researchers in mechanics, particularly those interested in the study of control theory of PDEs.: |
| Contents note |
Preface -- Chapter 1. Preliminaries -- Chapter 2. Stability of elastic transmission systems with a local Kelvin-Voigt damping -- Chapter 3. Stabilization for the wave equation with singular Kelvin-Voigt damping -- Chapter 4. Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping -- Chapter 5. Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping -- Chapter 6. Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping -- Chapter 7. Conclusion and perspectives -- Bibliography. |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2022. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-031-12519-5 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Control theory .
Differential Equations .
Mechanics, Applied .
Solid Mechanics .
Solids .
System theory .
Systems Theory, Control .
Authors:
Corporate Authors:
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