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
收藏
页码：249 / 263
页数：15
相关论文
共 50 条
  • [1] Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits
    Chueshov I.
    Lasiecka I.
    [J]. Milan Journal of Mathematics, 2006, 74 (1) : 117 - 138
  • [2] Stability results of some distributed systems involving Mindlin-Timoshenko plates in the plane
    Bassam, Maya
    Mercier, Denis
    Nicaise, Serge
    Wehbe, Ali
    [J]. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 2016, 96 (08): : 916 - 938
  • [3] STRUCTURAL CONTROL TO MINIMIZE THE DYNAMIC-RESPONSE OF MINDLIN-TIMOSHENKO PLATES
    SADEK, IS
    SLOSS, JM
    BRUCH, JC
    ADALI, S
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1987, 324 (01): : 97 - 111
  • [4] Lifting plate incompressibility condition for stability of a magnetoelastic Mindlin-Timoshenko model
    Grobbelaar, Marie
    [J]. APPLIED MATHEMATICS LETTERS, 2020, 102
  • [5] Exact controllability for the semilinear Mindlin-Timoshenko system
    Antunes, G. O.
    Araruna, F. D.
    Mercado, A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 480 (02)
  • [6] Indirect stabilization of a Mindlin-Timoshenko plate
    Tebou, Louis
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (02) : 1880 - 1891
  • [7] Transmission problems for Mindlin-Timoshenko plates: frictional versus viscous damping mechanisms
    Ferreira, Marcio V.
    Munoz Rivera, Jaime E.
    Suarez, Fredy M. S.
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (03):
  • [8] Global well-posedness and stability of semilinear Mindlin-Timoshenko system
    Pei, Pei
    Rammaha, Mohammad A.
    Toundykov, Daniel
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 418 (02) : 535 - 568
  • [9] Stability of Mindlin-Timoshenko plate with nonlinear boundary damping and boundary sources
    Pei, Pei
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (02) : 1467 - 1488
  • [10] Polynomial stability of a magneto-thermoelastic Mindlin-Timoshenko plate model
    Ferreira, Marcio V.
    Munoz Rivera, Jaime E.
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (01):
12345