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Stabilization of elasticity–viscoporosity system by linear boundary feedback

✍ Scribed by Przemysław Głowiński; Andrzej Łada

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
170 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The initial boundary value problem for linear elastodynamic system for viscoporous materials is considered. Exponential decay of solutions via the linear boundary feedback is established. Existence of solutions is obtained through the method of c~0~‐semigroups. Exponential stabilization is derived via a proper collection of ideas of observability inequality, energy identity and c~0~‐semigroup of contractions. Copyright © 2008 John Wiley & Sons, Ltd.

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