Stabilization of Kelvin-Voigt Damped Systems (Hardcover, 1st ed. 2022)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Advances in Mechanics and Mathematics, 47
Release date:	September 2022
First published:	2022
Authors:	Kais Ammari • Fathi Hassine
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	150
Edition:	1st ed. 2022
ISBN-13:	978-3-03-112518-8
Categories:	Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	3-03-112518-5
Barcode:	9783031125188

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