Accennerò brevemente ad alcune ricerche da me svolte negli ultimi anni o attualmente in corso con membri del dipartimento, riguardanti temi di ricerca di Calcolo delle Variazioni ed Equazioni alle der...
Abstract: The last few decades witnessed an increasing interest, among solid state physicists, for physical phenomena having a topological origin. This interest traces back to the milestone paper by T...
Abstract: Spin-boson models describe the interaction between a 2-level quantum system and finitely many distinguished modes of a bosonic field. In this talk I will discuss two prototypical examples, t...
Tra le varie tecniche di riduzione di modello note in letteratura, la Proper Generalized Decomposition (PGD) si propone come un metodo particolarmente adatto per l’approssimazione di problemi differen...
We consider the Dirichlet-Ferguson (DF) measure, a random probability on a locally compact Polish space X introduced by Ferguson in [1]. The measure has ever since found many applications, widely rang...
Abstract: In 1970 the physicist V. Efimov pointed out that a system of three different particles, such that the two-particle interactions are short-range and resonant, have an infinite number of bound...
Abstract: We consider an extreme type-II superconducting wire with non-smooth cross section, i.e., with one or more corners at the boundary, in the framework of the Ginzburg-Landau theory. We prove th...
Abstract: Colonies of motile microorganisms, the cytoskeleton and its components, cells and tissues have much in common with soft condensed matter systems (i.e. liquid crystals, amphiphiles, colloids ...
I will present a third order accurate finite volume scheme under Adaptive Mesh Refinement (AMR) on quad-tree type grids. In the scheme, AMR is driven by the, so called, numerical entropy production. T...
In this talk we present a sensitivity analysis of a PDE model for traffic forecast on networks. The analysis is made with respect to the parameters and to the network. In order to compare different nu...
