Polynomial stability for a Timoshenko-type system of thermoelasticity with partial Kelvin-Voigt damping

被引：1
|
作者：
Cui, Jianan [1 ]
Chai, Shugen [1 ]
Cao, Xiaomin [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 520卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Polynomial stability; Timoshenko system; Thermoelasticity type; Kelvin-Voigt damping; GLOBAL EXISTENCE; DECAY; BEAM; ENERGY;
D O I：
10.1016/j.jmaa.2022.126908
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a 1-d Timoshenko-type system of thermoelasticity with local distributed Kelvin-Voigt damping. Firstly, by combining semigroup theory with the principle of unique continuation, we prove the well-posedness and strong stability of the system. Then, for 0 <= alpha < 1, we obtain that the energy of the system decays polynomial with t- 4 decay rate. The method is based on frequency domain arguments and piecewise multiplier techniques. (c) 2022 Elsevier Inc. All rights reserved.
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页数：18
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