Fathi Hassine's Books

Stabilization of Kelvin-Voigt Damped Systems

By: Kaïs Ammari,Fathi Hassine

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Stabilization of Kelvin-Voigt Damped Systems

By: Kaïs Ammari,Fathi Hassine

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.

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156

Publisher

Springer Nature

Published Date

ISBN 10

3031125193

ISBN 13

9783031125195

Stabilization for Some Fractional-Evolution Systems

By: Kaïs Ammari,Fathi Hassine,Luc Robbiano

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Stabilization for Some Fractional-Evolution Systems

By: Kaïs Ammari,Fathi Hassine,Luc Robbiano

This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus. The volume is divided into three chapters, the first of which considers the stabilization for some abstract evolution equations with a fractional damping, the second of which validates the abstract results of chapter 1 on concrete examples, and the third of which studies the stabilization of fractional evolution systems with memory.

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Springer Nature

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ISBN 10

3031173430

ISBN 13

9783031173431

Stabilization of Kelvin-Voigt Damped Systems

By: Kaïs Ammari,Fathi Hassine

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Stabilization of Kelvin-Voigt Damped Systems

By: Kaïs Ammari,Fathi Hassine

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

156

Publisher

Springer Nature

Published Date

ISBN 10

3031125193

ISBN 13

9783031125195

Book's by Fathi Hassine

Stabilization of Kelvin-Voigt Damped Systems

Stabilization of Kelvin-Voigt Damped Systems

Stabilization for Some Fractional-Evolution Systems

Stabilization for Some Fractional-Evolution Systems

Stabilization of Kelvin-Voigt Damped Systems

Stabilization of Kelvin-Voigt Damped Systems

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