– Unusual schedule
Room P3.10, Mathematics Building
Roméo Leylekian, Aix-Marseille Université
Which vibrating plate has the gravest pitch?
A mathematical model for the pitch of a plate is given by the first eigenvalue of the bilaplacian over the domain representing the plate at rest. Therefore, the question in title amounts to finding the domain for which the first eigenvalue of the bilaplacian is minimal. To address this shape optimization problem, we will introduce classic tools such as symmetrization techniques and comparison principles.