Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Title
Stabilization of Kelvin-Voigt damped systems / Kaïs Ammari, Fathi Hassine.
ISBN
9783031125195 (electronic bk.)
3031125193 (electronic bk.)
9783031125188
3031125185
Published
Cham : Birkhäuser, [2022]
Copyright
©2022
Language
English
Description
1 online resource (x, 150 pages) : color illustrations.
Item Number
10.1007/978-3-031-12519-5 doi
Call Number
QA935
Dewey Decimal Classification
531/.32
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 28, 2022).
Series
Advances in mechanics and mathematics ; v. 47. 1876-9896
Available in Other Form
Print version: 9783031125188
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.
