具有局部阻尼的二维 Mindlin-Timoshenko 板系统的镇定

Abstract

Abstract:

In this paper, the two-dimensional Mindlin-Timoshenko plate system with local damping is studied. First, the original system is transformed into an abstract Cauchy problem, and the well posedness of the system is obtained by using operator semigroup theory. With the help of the frequency domain stability results of the linear system, the uniform exponential stability of the system is obtained by introducing geometric optical conditions and multiplier techniques.

Key words: Mindlin-Timoshenko plate system, Local damping, Piecewise multiplier method, Uniform exponential stability.

CLC Number:

O231.4

Zhang Chunguo, Sun Baonan, Fu Yuzhi, Yu Xin. Stabilization of 2-D Mindlin Timoshenko Plate Systems with Local Damping[J].Acta mathematica scientia,Series A, 2024, 44(4): 946-959.

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Stabilization of 2-D Mindlin Timoshenko Plate Systems with Local Damping

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