DECAY ESTIMATE AND GLOBAL EXISTENCE OF SEMILINEAR THERMOELASTIC TIMOSHENKO SYSTEM WITH TWO DAMPING EFFECTS

被引：0

作者：

王维克 ^{[1
]}

薛锐 ^{[2
]}

机构：

[1] School of Mathematical Sciences & Institute of Natural Sciences,Shanghai Jiao Tong University

[2] School of Mathematical Sciences, Shanghai Jiao Tong University

来源：

ActaMathematicaScientia | 2019年 / 39卷 / 06期

关键词：

semilinear Timoshenko system; heat conduction; damping; optimal decay rate; eigenvalue expansion method;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we study a semilinear Timoshenko system with heat conduction having two damping effects. The observation that two damping effects might lead to smaller decay rates for solutions in comparison to one damping effect is rigorously proved here in providing optimality results. Moreover, the global well-posedness for small data is presented.

引用

页码：1461 / 1486

页数：26

共 22 条

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