Energy Decay Rate for Bresse System with Nonlinear Localized Damping
Donghao Li
Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China.
Chenxia Zhang
School of Foreign Languages, Huazhong University of Science and Technology, Wuhan 430074, China.
Qingying Hu
Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China.
Hongwei Zhang *
Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China.
*Author to whom correspondence should be addressed.
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.
Keywords: Bresse system, localing damping, energy decay, Komornik's inequality