Articolo in rivista

Pre-turbulent regimes in graphene flows

On automaton recognizability of abnormal extremals

A Multiresolution Mesoscale Approach for Microscale Hydrodynamics

A new class of multiscale scheme is presented for micro-hydrodynamic problems based on a dual representation of the fluid observables. The hybrid model is first tested against the classical flow between two parallel plates and then applied to a plug flow within a micrometer-sized striction and a…

Analysis of the interference effects for high-speed catamarans by model tests and numerical simulations

This paper presents the results of a large experimental and numerical campaign aimed to the analysis of the interference effect for a fast catamaran. Several separation distances are considered; data for resistance, sinkage and trim are collected by towing tank experiments for Froude number ranging…

Explicit Finite-Difference and particlemethod for the Dynamics of Mixed Bose-condensate and Cold-Atom Clouds

New solutions of the Ermakov-Pinney equation in curved spacetime

An Ermakov-Pinney-like equation associated with the scalar wave equation in curved space-time is here studied. The example of Schwarzschild space-time considered in the present work shows that this equation can be viewed more as a "model equation," with interesting applications in black hole…

An overview of the Mumford-Shah Problem

Global existence of smooth solutions of the N-dimensional Euler-Poisson model

The global existence of smooth solutions of the Cauchy problem for the $N$-dimensional Euler-Poisson model for semiconductors is established, under the assumption that the initial data is a perturbation of a stationary solution of the drift-diffusion equations with zero electron velocity, which is…

Signed radon measure-valued solutions of flux saturated scalar conservation laws

We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz…

Classification of stable time-optimal controls on 2-manifolds