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Global well-posedness of the Non-cutoff Boltzmann Equation with Polynomial Decay Perturbations

Abstract: The Boltzmann equation without angular cutoff is considered when the initial data is a perturbation of a global Maxwellian with algebraic decay in the velocity variable. Global solution is p...

Discovery mathematical models from experimental data

In this talk, we will present two recent techniques to discover mathematical models from data using machine learning techniques. In the first part of the talk, we advocate the use of Dynamic Mode Deco...

Un nuovo modello multiscala per il traffico veicolare

In questo seminario presenterò un nuovo modello per lo studio del traffico veicolare che riassume in un unico scenario il punto di vista macroscopico e microscopico, evitando qualsiasi tipo di interfa...

Bacterial fluids, a living example of “active matter”

Abstract: Understanding the individual and the macroscopic transport properties of motile micro-organisms like bacteria is a timely question relevant to many technological applications. This is for ex...

Ricostruzioni di alto ordine per problemi di tipo iperbolico

Nell’integrazione numerica di problemi di tipo iperbolico, gli algoritmi di ricostruzione che permettono di passare dai valori delle medie di cella ai valori puntuali della soluzione sono uno degli as...

Critical Points, Multiple Testing and Point Source Detection for Cosmological Data

Abstract: Over the last two decades, Cosmology has experienced a sort of revolution, where a flood of data of unprecedented accuracy has become available by means of a number of different ground-based...

A staggered discretization for solving the Euler equations

The mathematical modeling of particulate flows naturally lead to systems of conservation laws involving constraints on velocity fields. The numerical treatment of the constrained systems of PDEs might...

Nonlinear Gibbs measures and their derivation from many-body quantum mechanics

Abstract: In this talk I will define and discuss some probability measures in infinite dimensions, which play an important role in (S)PDE, in Quantum Field Theory and for Bose-Einstein condensates. Th...