Wednesday 17 February 2016 h. 14:30, Room 2BC30
Luigi Provenzano (Dip. Mat.)
"On the behavior of membranes and plates upon perturbations of shape and density"
In this talk we consider eigenvalue problems for second and fourth order partial differential operators. Such problems arise from the study of the transverse vibrations of thin membranes and plates, respectively. We are interested in the behavior of the normal modes of vibration (i.e., the eigenvalues) upon variations of the shape and the density of the membrane/plate. In particular, we shall consider the issue of the optimization of the eigenvalues depending on such parameters, under suitable constraints (of fixed volume or mass, for example).
The talk is of introductory type and is intended for a general audience, no matter the field of expertise.