一维线性热弹性系统的边界控制与衰减指数

Abstract

Abstract:

In this paper,we give an asymptotic estimation of the eigenfrequencies of a one dimensional thenoelastic system with one end stress damping.It is shown that this kind of boundry stress feedback can improve arbitrarily thr decay rate of teh higher eigenfrequencies.The Legendre spectral method is used to compute the eigenvalues of teh damped operator.Numerical results confirms teh theoretical estimations.

Key words: 　Ｔｈｅｒｍｏｅｌａｓｔｉｃｉｔｙ, Ｂｏｕｎｄａｒｙｆｅｅｄｂａｃｋ, Ｓｔａｂｉｌｉｔｙ, Ａｓｙｍｐｔｏｔｉｃａｎａｌｙｓｉｓ．

CLC Number:

　９３Ｃ，９３Ｄ

Zhou Rong Guo Baozhu. The Decay Rate of a One Dimensional Linesr Themoelastic System with Boundary Stabilizer[J].Acta mathematica scientia,Series A, 1999, 19(3): 256-265.

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The Decay Rate of a One Dimensional Linesr Themoelastic System with Boundary Stabilizer

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