PDE Seminar (2017/4/21): Eigenfrequencies of a thin nonuniform pillarshaped elastic body
 Date

2017421 16:30 
2017421 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 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 timeperiodic 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.