ON THE STABILITY OF MINDLIN-TIMOSHENKO PLATES

被引：28

作者：

Sare, Hugo D. Fernandez ^{[1
]}

机构：

[1] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2009年 / 67卷 / 02期

关键词：

Timoshenko plates; non-exponential stability; polynomial stability;

D O I：

10.1090/S0033-569X-09-01110-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a Mindlin-Timoshenko model with frictional dissipations acting on the equations for the rotation angles. We prove that this system is not exponentially stable independent of any relations between the constants of the system, which is different from the analogous one-dimensional case. Moreover, we show that the solution decays polynomially to zero, with rates that can be improved depending on the regularity of the initial data.

引用

页码：249 / 263

页数：15

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