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具阻尼和动态边界的热弹性板的指数衰减性 被引量:1

Exponential Decay of Thermoelastic Plates with Damping and Dynamical Boundary
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摘要 文章研究一个具有阻尼和动态边界条件的热弹性板的指数衰减性,运用频域方法和偏微分方程的技巧证明了所考虑弹性系统的能量是指数衰减的. In this paper, exponential decay of thermoelastic plates with damping and dynamical boundary is studied. By using the frequency domain criterion and the P. D. E estimates,it is proved that the energy of the therrnoelastic system decays exponentially.
出处 《太原师范学院学报(自然科学版)》 2010年第1期17-20,共4页 Journal of Taiyuan Normal University:Natural Science Edition
基金 山西省自然科学基金资助项目(2009011007)
关键词 热弹性板 C0-半群 指数衰减性 thermoelastic plate C0-semigroup exponential decay
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  • 1张琼,黄发伦.Analyticity of thermoelastic plates with dynamical boundary conditions[J].Science China Mathematics,2003,46(5):631-640. 被引量:5
  • 2K. Liu,Z. Liu.Exponential stability and analyticity of abstract linear thermoelastic systems[J].Zeitschrift für angewandte Mathematik und Physik.1997(6)
  • 3Kim,J. U.On the energy decay of a linear thermoelastic bar and plate, SIAM J[].Math Anal.1992
  • 4Huang,F. L.Characteristic conditions for exponential stability of linear dynamical systems in Hilbert spaces,Ann[].Differential Equations.1985
  • 5Russell,D. L.A general framework for the study of indirect damping mechanisms in elastic systems, J.Math[].Anal Appl.1993

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