Articolo in rivista

A Sobolev inequality with reciprocal weights

We give a Sobolev inequality with the weight K(x) belonging to the class A_2\cap G_n for the function |u|^t and the weight K(x)^{-1} for |u|^2. The constant in the relevant inequality is seen to depend on the G_n and A_2 constants of the weight.

Horizontal thermocapillary convection of SCN: Steady state, instabilities and transition to chaos

Interpolation-based, minimum-time piecewise constant control of linear continuous-time SISO systems

We present a novel approach to the system inversion problem for linear, scalar (i.e. single-input, single-output, or SISO) plants. The problem is formulated as a constrained optimization program, whose objective function is the transition time between the initial and the final values of the system'…

Multitemporal Backscattering Logistic Analysis for Intertidal Bathymetry

A new methodology for the mapping of intertidal terrain morphology is presented. It is based on the use of synthetic aperture radar (SAR) images and the temporal correlation between the SAR backscatter intensity and the water level on the intertidal zone. The proposed methodology does not require…

A fluid dynamics model of the growth of phototrophic biofilms

A system of nonlinear hyperbolic partial differential equations is derived using mixture theory to model the formation of biofilms. In contrast with most of the existing models, our equations have a finite speed of propagation, without using artificial free boundary conditions. Adapted numerical…

Bounding Vertex Coloring by Truncated Multistage Branch and Bound

Questo lavoro si occupa di graph coloring. In particolare viene proposto un algoritmo di branch and bound troncato in grado di calcolare buoni lower bound sul numero cromatico di un grafo e spesso fornisce la soluzione ottima.

Filtered integration rules for finite weighted Hilbert transforms

A product quadrature rule, based on the filtered de la Vallée Poussin polynomial approximation, is proposed for evaluating the finite weighted Hilbert transform in [-1,1]. Convergence results are stated in weighted uniform norm for functions belonging to suitable Besov type subspaces. Several…

On the establishment of thermal diffusion in binary Lennard-Jones liquids

The establishment of thermal diffusion in an Ar-Kr Lennard-Jones mixture is investigated via dynamical non equilibrium molecular dynamics [G. Ciccotti, G. Jacucci, Phys. Rev. Lett. 35, 789 (1975)]. We observe, in particular, the evolution of the density and temperature fields of the system…

Benchmarking of communication techniques for GPUs

Multiphase semiclassical approximation of the one-dimensional harmonic crystal: I. The periodic case

Abstract. One-dimensional electronic conduction is investigated in a special case usually referred to as the harmonic crystal, meaning essentially that atoms are assumed to move like coupled harmonic oscillators within the Born–Oppenheimer approximation. We recall their dispersion relation and…