Articolo in rivista

On the linearization of the Belinski-Alekseev exact solution for two charged masses in equilibrium

Gamma-Convergence Analysis of a Generalized XY Model: Fractional Vortices and String Defects

We propose and analyze a generalized two dimensional XY model, whose interaction potential has n weighted wells, describing corresponding symmetries of the system. As the lattice spacing vanishes, we derive by -convergence the discrete-to-continuum limit of this model. In the energy regime we deal…

Wavelet simultaneous approximation from samples affected by noise

Lattice Boltzmann approach for complex nonequilibrium flows (vol 92, 043308, 2015)

We present a lattice Boltzmann realization of Grad's extended hydrodynamic approach to nonequilibrium flows. This is achieved by using higher-order isotropic lattices coupled with a higher-order regularization procedure. The method is assessed for flow across parallel plates and three-dimensional…

A system of degenerate parablic nonlinear PDE's: a new free boundary problem

We prove existence of solutions of a new free boundary problem described by a system of degenerate parabolic equations. The problem arises in petroleum engineering and concerns fluid flows in diatomite rocks. The unknown functions represent the pressure of the fluid and a damage parameter of the…

An higher integrability result for the second derivatives of the solutions to a class of elliptic PDE's

In this paper we establish an higher integrability result for second derivatives of the local solution of elliptic equation div(A(x,Du))=0in?where ? ? R, n>= 2 and A(x, ?) has linear growth with respect to ? variable. Concerning the dependence on the x-variable, we shall assume that, for the map…

Effects of Thermal Control and of Passive Solar Elements on the Dynamical Behaviour of a Building

Numerical validation of the conjecture of a subglacial lake at Amundsenisen, Svalbard

The likelihood of a subglacial lake beneath Amundsenisen Plateau at Southern Spitzbergen, Svalbard, pointed out by the flat signal within the Ground Penetrating Radar (GPR) remote survey of the area, is justified, here, via numerical simulation.This investigation has been developed under the…

A stable and convergent algorithm to evaluate the Hilbert transform

We deal with the numerical evaluation of the Hilbert transform on the real line by a Gauss type quadrature rule. The convergence and the stability of the method are investigated. The goodness of the numerical results for practical applications is examined.

Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications

Spectral residual methods are derivative-free and low-cost per iteration procedures for solving nonlinear systems of equations. They are generally coupled with a nonmonotone linesearch strategy and compare well with Newton-based methods for large nonlinear systems and sequences of nonlinear systems…