Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms

被引：7

作者：

Wu, Yuhu ^{[1
,2
]}

Xue, Xiaoping ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 09期

基金：

中国国家自然科学基金;

关键词：

beams (structures); damping; elasticity; hyperbolic equations; initial value problems; partial differential equations; shear deformation; vibrations; ENERGY DECAY; EXPONENTIAL STABILITY; GLOBAL EXISTENCE; MEMORY-TYPE; BEAM; STABILIZATION; THERMOELASTICITY; EQUATION;

D O I：

10.1063/1.3625553

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we consider a class of quasi-linear Timoshenko systems with nonlinear control and damping terms. We investigate the stabilization of weak solutions to the initial boundary value problem and obtain explicit decay rate estimation depending on control and damping terms. (C) 2011 American Institute of Physics. [doi:10.1063/1.3625553]

引用

页数：18

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