Polynomial stability for Timoshenko-type system with past history

机译：过去历史上Timoshko型系统的多项式稳定性

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In this paper, we consider hyperbolic Timoshenko-type vibrating systems that are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. We use semigroup method to prove the polynomial stability result with assumptions on past history relaxation function g exponentially decaying for the nonequal wave-speed case.

机译：在本文中，我们考虑通过热传导耦合到热方程耦合到热方程的振动系统。我们使用半群方法来证明多项式稳定性导致与过去历史放松函数G指数衰减的假设进行了指数衰减。

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《International Conference on Mechatronics and Materials Engineering》|2014年||共7页
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Zhiyong Ma;
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中图分类 TB3-53;
关键词
Polynomial decay; Timoshenko; Semigroup; Past history;

机译：多项式衰减;Timoshenko;半群;过去的历史;

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1. Exponential stability for a Timoshenko-type system with history [J] . Ma Z., Zhang L., Yang X. Journal of Mathematical Analysis and Applications . 2011,第1期

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2. On the stability of Timoshenko-type systems with internal frictional dampings and discrete time delays [J] . Guesmia Aissa, Soufyane Abdelaziz Applicable Analysis . 2017,第9a12期

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3. ENERGY DECAY IN A TIMOSHENKO-TYPE SYSTEMWITH HISTORY IN THERMOELASTICITY OF TYPE III [J] . SALIM A. MESSAOUDI, BELKACEM SAID-HOUARI Advances in differential equations . 2009,第3a4期

机译：具有历史的III型热弹性的TIMOSHENKO型系统中的能量衰减
4. Polynomial stability for Timoshenko-type system with past history [C] . Zhiyong Ma International Conference on Mechatronics and Materials Engineering . 2014

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5. Stability analysis and control of stochastic dynamic systems using polynomial chaos [D] . Fisher, James Robert 2008

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7. Exponential stability for a Timoshenko-type system with history [O] . Ma Zhiyong, Zhang Lingrui, Yang Xinguang 2011

机译：具有历史的Timoshenko型系统的指数稳定性

Polynomial stability for Timoshenko-type system with past history

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