Abstract: I will discuss the problem of homogenization for the Cauchy problem for a semilinear advection equation, where the drift coefficient is given by an Ornstein-Uhlenbeck type stationary in time...
The talk presents an overview of selected results regarding recent achievements in the field of structure-preserving numerical integration of deterministic and stochastic differential equations. The p...
Il trasporto di massa o di energia in un mezzo è spesso descritto da equazioni fenomenologiche. Esempi sono la legge di Fourier per il trasporto di energia in un cristallo e la legge di Fick che descr...
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: 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: 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: 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 ...
