In the talk I will prove existence and nonexistence results for finite energy solutions of some parameter-dependent saturated nonlinear Schrödinger system. It is shown that for most parameter samples the ground state solutions are semitrivial while…
Categoria evento: Analysis Seminar
Nonlinear stability results for the Ohta-Kawasaki energy and for the nonlocal Mullins-Sekerka flow – Massimiliano Morini (Universita’ di Parma)
It has been recently shown that strictly stable critical configurations for the Ohta-Kawasaki energy are in fact isolated local minimizers with respect to small $L^1$-perturbations. After reviewing such results and some of their applications, we…
Optimal bounds for mixtures of ferromagnetic interactions – Leonard Kreutz (GSSI (Gran Sasso Science Institute), L’Aquila)
We completely describe the effective surface tension of periodic mixtures of two types of ferromagnetic interactions. This problem is linked to optimal design of networks and their metric properties. This is joint work with A. Braides.…
Crystal dislocation dynamics, collisions, relaxation times and asymptotics – Enrico Valdinoci
We consider an equation (or a system of equations) inspired by the Peierls-Nabarro model for crystal dislocation. We study the evolution of such dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to…
Boundary behavior and geometric properties of nonlocal minimal surfaces – Serena Dipierro
We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative interior and and boundary behavior. In particular, we present some optimal examples in which the surfaces stick at the boundary. This phenomenon is…
Phase segregation for binary mixtures of Bose-Einstein Condensates – Michael Goldman
In this talk I will discuss the (asymptotic) shape of the minimizers of a Gross-Pitaievskii functional describing Bose-Einstein condensates with two components. We will be interested in the regime of strong segregation where the two components do…
A partial Gamma-convergence result for a family of functionals depending on curvatures – Luca Lussardi (Università Cattolica, Brescia)
Biomembranes are remarkable structures with both fluid-like and solid-like properties: the main constituents are amphiphilic lipids, which have a head part that attracts water and a tail part that repels it. Because of these properties, such lipids…
Optimal control problems in transport dynamics – Mattia Bongini (TUM )
In this talk we shall discuss several results concerning the \it{indirect control of populations}, i.e., how to influence a group of individuals by means of external agents with a directly controlled dynamics. By using the general theory of…
“Ground states per energie tipo NLS su grafi metrici” – Paolo Tilli
We investigate the existence of ground states for a focusing NLS functional with a power nonlinearity over a metric graph (i.e. a one-dimensional network made up of finite intervals and/or half-lines, glued together according to the topology of a…
Ground states and Excitation Spectrum of Bosonic Quantum Many-Body Systems – Robert Seiringer
Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature…