Articolo in rivista

Analytic determination of the two-body gravitational interaction potential at the 4th

We complete the analytical determination, at the 4th post-Newtonian approximation, of the main radial potential describing the gravitational interaction of two bodies within the effective one-body formalism. The (nonlogarithmic) coefficient a5(?) measuring this 4th post-Newtonian interaction…

A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices

In this paper, we will derive a solver for a symmetric strongly nonsingular higher order generator representable semiseparable plus band matrix. The solver we will derive is based on the Levinson algorithm, which is used for solving strongly nonsingular Toeplitz systems. In the first part an $O(p^…

SOC-reactivity analysis for a newly defined class of two-dimensional soil organic carbon dynamics

To evaluate changes in the Soil Organic Carbon (SOC) index, one of the key indicators of land degradation neutrality, soil carbon modeling is of primary importance. In litera-ture, the analysis has been focused on the stability characterization of soil carbon steady states and in the calculation of…

Enhanced settling of nonheavy inertial particles in homogeneous isotropic turbulence: The role of the pressure gradient and the Basset history force

The Stokes drag force and the gravity force are usually sufficient to describe the behavior of sub-Kolmogorovsize (or pointlike) heavy particles in turbulence, in particular when the particle-to-fluid density ratio rho(p)/rho(integral) greater than or similar to 10(3) (with rho(p) and rho(f) the…

Universal mechanism for saturation of vorticity growth in fully developed fluid turbulence

A fluid-dynamic traffic model on road networks

We consider a mathematical model for fluid-dynamic flows on networks which is based on conservation laws. Road networks are studied as graphs composed by arcs that meet at some nodes, corresponding to junctions, which play a key-role. Indeed interactions occur at junctions and there the problem is…

Solution of the EEG inverse problem by random dipole sampling

Abstract. Electroencephalography (EEG) source imaging aims to reconstruct brain activity maps from the neuroelectric potential difference measured on the skull. To obtain the brain activity map, we need to solve an ill-posed and ill-conditioned inverse problem that requires regularization…

On the energy content of electromagnetic and gravitational plane waves through super-energy tensors

The energy content of (exact) electromagnetic and gravitational plane waves is studied in terms of super-energy tensors (the Bel, Bel-Robinson and the-less familiar-Chevreton tensors) and natural observers. Starting from the case of single waves, the more interesting situation of colliding waves is…

Local mass non-equilibrium dynamics in multi-layered porous media: application to the drug-eluting stents

Restoration of color images by vector valued BV functions and variational calculus

We analyze a variational problem for the recovery of vector valued functions and compute its numerical solution. The data of the problem are a small set of complete samples of the vector valued function and some significant incomplete information where the former are missing. The incomplete…