| 一维线性热弹性系统的边界控制与衰减指数 |
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| 引用本文： | 周蓉,郭宝珠.一维线性热弹性系统的边界控制与衰减指数[J].数学物理学报(A辑),1999,19(3):256-265. |
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| 作者姓名： | 周蓉 郭宝珠 |
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| 作者单位： | 北京理工大学应用数学系!北京，100081，北京理工大学应用数学系!北京，100081 |
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| 摘 要： | 考虑边界反馈时，一维热弹性系统的衰减速度．证明了闭环系统的谱确定增长条件成立，且反馈增益常数可任意改变高本征频谱．最后谱方法给出了数值模拟结果．
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| 关 键 词： | 热弹性 边界控制 稳定性 渐近分析 |
The Decay Rate of a One Dimensional Linear Themoelastic System with Boundary Stabilizer |
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| Zhou Rong, Guo Baozhu.The Decay Rate of a One Dimensional Linear Themoelastic System with Boundary Stabilizer[J].Acta Mathematica Scientia,1999,19(3):256-265. |
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| Authors: | Zhou Rong Guo Baozhu |
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| Abstract: | In this paper, we give an asymptotic estimation of the eigenfrequencies of a one dimensional themoelastic system with one end stress damping. It is shown that this kind of boundary stress feedback can improve arbitrarily the decay rate of the higher eigenfrequen-cies. The Legendre spectral method is used to compute the eigenvalues of the damped op-erator. Numerical results confirms the theoretical estimations. |
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| Keywords: | Thermoelasticity Boundary feedback Stability Asymptotic analysis |
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