Decay Estimate and Global Existence of Semilinear Thermoelastic Timoshenko System with Two Damping Effects

被引:0
作者
Weike Wang
Rui Xue
机构
[1] Shanghai Jiao Tong University,School of Mathematical Sciences & Institute of Natural Sciences
[2] Shanghai Jiao Tong University,School of Mathematical Sciences
来源
Acta Mathematica Scientia | 2019年 / 39卷
关键词
semilinear Timoshenko system; heat conduction; damping; optimal decay rate; eigenvalue expansion method; 35A01; 35B40; 74K10;
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学科分类号
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.
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页码:1461 / 1486
页数:25
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