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010   $a3-031-12519-3
024 7 $a10.1007/978-3-031-12519-5
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035   $a(MiAaPQ)EBC7101908
035   $a(Au-PeEL)EBL7101908
035   $a(PPN)264953576
035   $a(OCoLC)1551396654
035   $a(DE-He213)978-3-031-12519-5
035   $a(EXLCZ)995850000000078717
100   $a20220920d2022      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aStabilization of Kelvin-Voigt Damped Systems /$fby Kaïs Ammari, Fathi Hassine
205   $a1st ed. 2022.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022.
215   $a1 online resource (156 pages)
225 1 $aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v47
311 08$a3-031-12518-5 
320   $aIncludes bibliographical references.
327   $aPreface -- 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.
330   $aThis monograph examines the stability of various coupled systems with local Kelvin-Voigt damping. The development of this area is thoroughly reviewed along with the authors? contributions. New results are featured on the fundamental properties of solutions of linear transmission evolution PDEs involving Kelvin-Voigt damping, with special emphasis on the asymptotic behavior of these solutions. The vibrations of transmission problems are highlighted as well, making this a valuable resource for those studying this active area of research. The book begins with a brief description of the abstract theory of linear evolution equations with a particular focus on semigroup theory. Different types of stability are also introduced along with their connection to resolvent estimates. After this foundation is established, different models are presented for uni-dimensional and multi-dimensional linear transmission evolution partial differential equations with Kelvin-Voigt damping. Stabilization of Kelvin-Voigt Damped Systems will be a useful reference for researchers in mechanics, particularly those interested in the study of control theory of PDEs.
410  0$aAdvances in Mechanics and Mathematics,$x1876-9896 ;$v47
606   $aDifferential equations
606   $aSystem theory
606   $aControl theory
606   $aMechanics, Applied
606   $aSolids
606   $aDifferential Equations
606   $aSystems Theory, Control
606   $aSolid Mechanics
615  0$aDifferential equations.
615  0$aSystem theory.
615  0$aControl theory.
615  0$aMechanics, Applied.
615  0$aSolids.
615 14$aDifferential Equations.
615 24$aSystems Theory, Control.
615 24$aSolid Mechanics.
676   $a534.42
700   $aAmmari$b Kai?s$0716377
702   $aHassine$b Fathi
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910595044403321
996   $aStabilization of Kelvin-Voigt damped systems$93030310
997   $aUNINA