Articolo in rivista

Area-preserving curve-shortening flows: from phase separation to image processing

Are the Effects of Large Scale Flow Conditions Really Lost Through the Turbulent Cascade?

The conceptual framework for modeling the inertial subrange is strongly influenced by the Kolmogorov cascade phenomena, which is now the subject of significant reinterpretation. It has been argued that the effects of boundary conditions influence large-scale motion and direct interaction between…

High biodiversity arises from the analyses of morphometric, biochemical and genetic data in ancient olive trees of South of Italy

Morphometric, biochemical and genetic analyses were conducted on Olea europaea L. of Campania, an area of Southern Italy highly suited to the cultivation of olive trees and the production of extra virgin olive oil (EVOO). We aimed to characterize the distribution of morphological, biochemical and…

Moser type estimates in nonlinear Neumann problems

Sharp exponential estimates for solutions to homogeneous Neumann problems for nonlinear elliptic equations in open subsets ! of Rn are established, with data from limiting Lebesgue spaces, or, more generally, Lorentz spaces.

Space localization and well-balanced schemes for discrete kinetic models in diffusive regimes

We derive and study Well-Balanced schemes for quasimonotone discrete kinetic models. By means of a rigorous localization procedure, we reformulate the collision terms as nonconservative products and solve the resulting Riemann problem whose solution is self-similar. The construction of an…

Numerical analysis of the dynamics of rigid blocks subjected to support excitation

The dynamic behaviour of rigid blocks subjected to support excitation is represented by discontinuous differential equations with state jumps. In the numerical simulation of these systems, the jump times corresponding to the numerical trajectory do not coincide with the ones of the given problem.…

Gli ottant'anni dell'IAC

Breve storia dell'IAC

Dynamics of trapped two-component Fermi gas: temperature dependence ofthe transition from collisionless to collisional regime

We develop a numerical method to study the dynamics of a two-component atomic Fermi gas trapped inside a harmonic potential at temperature T well below the Fermi temperature TF. We examine the transition from the collisionless to the collisional regime down to T = 0.2 TF and find a good qualitative…

Lattice Boltzmann method for thin-liquid-film hydrodynamics

We propose an approach to the numerical simulation of thin-film flows based on the lattice Boltzmann method. We outline the basic features of the method, show in which limits the expected thin-film equations are recovered, and perform validation tests. The numerical scheme is applied to the viscous…

Noisy independent factor analysis model for density estimation and classification