Stabilization of Kelvin-Voigt Damped Systems

This monograph examines the stability of coupled systems with local Kelvin-Voigt damping, reviewing the development of the area and presenting new results on the fundamental properties of solutions of linear transmission evolution PDEs. It also highlights the vibrations of transmission problems and provides a valuable resource for researchers in mechanics.

Format: Hardback
Length: 150 pages
Publication date: 21 September 2022
Publisher: Birkhauser Verlag AG

This monograph delves into the study of the stability of diverse coupled systems with local Kelvin-Voigt damping. It provides a comprehensive review of the development in this field, highlighting the authors' significant contributions. Additionally, the book showcases new results on the fundamental properties of solutions of linear transmission evolution partial differential equations (PDEs) involving Kelvin-Voigt damping, with a particular emphasis on the asymptotic behavior of these solutions. Furthermore, the vibrations of transmission problems are emphasized, making this a valuable resource for those engaged in the study of this active and evolving area of research.

The book commences with a concise introduction to the abstract theory of linear evolution equations, with a particular focus on semigroup theory. Various types of stability are introduced, along with their relationship to resolvent estimates. Following this foundational setup, different models are presented for uni-dimensional and multi-dimensional linear transmission evolution PDEs with Kelvin-Voigt damping.

Stabilization of Kelvin-Voigt Damped Systems will serve as a valuable reference for researchers in mechanics, particularly those with an interest in the study of control theory of PDEs.

Weight: 412g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031125188
Edition number: 1st ed. 2022