In this talk we consider inverse problems for the partial differential equations describing the behavior of certain fluids. Our focus will be on the fluid-structure interaction problem and the object...
Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...
I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia (Roma 3),...
Aeppli and Bott-Chern cohomologies are useful invariants on compact complex manifolds, especially if they do not admit Kahler metrics. In this seminar we will introduce generalisations of these object...
The principle behind magnetic fusion is to confine high temperature plasma inside a device in such a way that the nuclei of deuterium and tritium joining together can release energy. The high temperat...
We consider radial solutions of fully nonlinear, uniformly elliptic equations posed in punctured balls, in presence of radial singular quadratic potentials. We discuss both the principal eigenvalues p...
On several types of fractals, it is possible to build a Dirichlet form in a natural way; it is also possible to define a dynamical system and we shall see that the Dirichlet form has a natural relatio...
Abstract: We present some results for Radon measure-valued solutions of first order scalar conservation laws. In particular we discuss the case in which the singular part of the initial datum is a sup...
We study some qualitative properties of the solutions to a segregation limit problem in planar domains. The main goal is to show that, generically, the limit configuration of N competing populations c...
We consider classical continuous system of interacting particles in Euclidean space (classical gas). Our approach to the limit theorems for the particle number is based on the method of cluster expans...
