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Research Article Open access CC BY 3.0

Energy Decay Rate for Bresse System with Nonlinear Localized Damping

Donghao Li, Chenxia Zhang, Qingying Hu, Hongwei Zhang

Journal of Advances in Mathematics and Computer Science · pp. 1665–1677 · Published 5 Apr 2014

10.9734/BJMCS/2014/9125

Abstract

In this paper, we study the energy decay rate for the Bresse system in a one-dimensional bounded domain with nonlinear localized damping acting in all the three wave equations. We show the asymptotic stability without impose conditions about the equal-speed wave propagation using a method developed by Kormornik [1994] and Martinez[1999], providing a larger class for non-linear functions.

Bresse system localing damping energy decay Komornik's inequality

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A nonlinear thermoelastic Bresse system: Global existence and exponential stability

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