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摘要
In this paper, we are concerned with the asymptotic behavior of the eigenvalues arising from a one-dimensional linear thermoelastic system with the Dirichlet-Dirichlet boundary condition. It is shown that the eigenfrequency asymptotically falls on two branches: one branch is along the negative horizontal axis in the complex plane and the other branch is asymptotic to the vertical line Re lambda = -gamma(2)/2k. These results lead to the exponential stability of the system and also provide a proof for the numerical simulation results by Liu and Zheng (1993, Quart. Appl. Math., 51, 535-545).
- 出版日期1997-9-15
- 单位北京理工大学
