國立高雄大學圖資館 |

Language: English

Back

Stabilization of Kelvin-Voigt damped systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stabilization of Kelvin-Voigt damped systemsby Kais Ammari, Fathi Hassine.
Author:	Ammari, Kais.
other author:	Hassine, Fathi.
Published:	Cham :Springer International Publishing :2022.
Description:	x, 150 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Damping (Mechanics)
Online resource:	https://doi.org/10.1007/978-3-031-12519-5
ISBN:	9783031125195$q(electronic bk.)

Stabilization of Kelvin-Voigt damped systems
Ammari, Kais.

Stabilization of Kelvin-Voigt damped systems[electronic resource] /by Kais Ammari, Fathi Hassine. - Cham :Springer International Publishing :2022. - x, 150 p. :ill. (some col.), digital ;24 cm. - Advances in mechanics and mathematics,v. 471876-9896 ;. - Advances in mechanics and mathematics ;v. 17..

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.

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.

ISBN: 9783031125195$q(electronic bk.)

Standard No.: 10.1007/978-3-031-12519-5doiSubjects--Topical Terms:

337956
Damping (Mechanics)

LC Class. No.: QA935 / .A55 2022

Dewey Class. No.: 531.32

Stabilization of Kelvin-Voigt damped systems
LDR:02871nmm a2200337 a 4500 001 630680
003 DE-He213
005 20220920155715.0
006 m d
007 cr nn 008maaau
008 230329s2022 sz s 0 eng d
020 $a 9783031125195$q(electronic bk.)
020 $a 9783031125188$q(paper)
024 7 $a 10.1007/978-3-031-12519-5 $2 doi
035 $a 978-3-031-12519-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA935 $b .A55 2022
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 531.32 $2 23
090 $a QA935 $b .A518 2022
100 1 $a Ammari, Kais. $3 712361
245 1 0 $a Stabilization of Kelvin-Voigt damped systems $h [electronic resource] / $c by Kais Ammari, Fathi Hassine.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2022.
300 $a x, 150 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Advances in mechanics and mathematics, $x 1876-9896 ; $v v. 47
505 0 $a 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.
520 $a 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.
650 0 $a Damping (Mechanics) $3 337956
650 1 4 $a Differential Equations. $3 285983
650 2 4 $a Systems Theory, Control. $3 274654
650 2 4 $a Solid Mechanics. $3 825700
700 1 $a Hassine, Fathi. $3 936011
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Advances in mechanics and mathematics ; $v v. 17. $3 450592
856 4 0 $u https://doi.org/10.1007/978-3-031-12519-5
950 $a Mathematics and Statistics (SpringerNature-11649)