[Dottorcomp] Fwd: Avviso di seminario

[Stefano Lisini]

Segnalo il seguente seminario del Politecnico di Milano (purtroppo in
sovrapposizione di orario con il Seminario di Matematica applicata di
Pavia).

Da: Iniziative di Dipartimento <fabio.cipriani a polimi.it>
Oggetto: Avviso di seminario
Data: 15 febbraio 2021 14:40:17 CET
Rispondi a: Iniziative di Dipartimento <fabio.cipriani a polimi.it>

Si avvisa che in data 16/2/2021, alle ore 15.15 , Link:
https://polimi-it.zoom.us/j/86140582546?pwd=U0hoTEhhalo1Q2NLeFAvTWd2TTdUUT09,
nell'ambito delle iniziative della sezione di Analisi, si svolgerà il
seguente seminario:

Titolo: Symmetry and rigidity for composite membranes and plates
Relatore: Eugenio Vecchi, Politecnico di Milano
Abstract:
The composite membrane problem is an eigenvalue optimization problem
that can be formulated as follows:
Build a body of prescribed shape out of given materials (of varying
densities) in such a way that the body has a prescribed mass and so
that the basic frequency of the resulting membrane (with fixed
boundary) is as small as possible.
In the first part of the talk we will review the known results and
present a Faber-Krahn-type result obtained in collaboration with G.
Cupini (Università di Bologna).
A natural extension of the above problem to the case of plates is the
composite plate problem, which is an eigenvalue optimization problem
involving the bilaplacian operator. The Euler-Lagrange equation
associated to it is a fourth-order PDE that is coupled with Navier
boundary conditions (for the hinged plate). In the second part of the
talk we will focus on symmetry properties of optimal pairs. These
results have been obtained in collaboration with F. Colasuonno
(Università di Bologna).