## 偏微分方程式セミナー(2017/4/21): Eigenfrequencies of a thin non-uniform pillar-shaped elastic body, Albert Rodriguez Mulet 氏 (北海道大学)

2017年 　 4月 21日 16時 30分 ～ 2017年 　 4月 21日 17時 30分

Albert Rodriguez Mulet 氏 (北海道大学)

The Lamé operator is an elliptic differential operator frequently used to describe the oscillation that take place in an elastic body. When we want to study the time-periodic ones, the second order differential equation can be simplified to the spectral analysis of the Lamé operator. In our case, we study the case of a thin elastic body such that it has its ends fixed and also such that each transverse section has a smooth shape. In particular we provide results about the order of the eigenvalues and also a description of the limit of both the eigenvalues and eigenfunctions as the domain gets thinner.