PDE Seminar (2017/4/21): Eigenfrequencies of a thin non-uniform pillar-shaped elastic body
2017-4-21 16:30 -
- Faculty of Science Building #3, Room 309
- Albert Rodriguez Mulet (Hokkaido University)
- 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.