Articolo in rivista

Higher-order tail contributions to the energy and angular momentum fluxes in a two-body scattering process

The need for more and more accurate gravitational-wave templates requires taking into account all possible contributions to the emission of gravitational radiation from a binary system. Therefore, working within a multipolar-post-Minkowskian framework to describe the gravitational-wave field in…

A center manifold technique for tracing viscous waves

Global smooth solutions for a hyperbolic chemotaxis model on a network

In this paper we study a semilinear hyperbolic-parabolic system modeling biological phenomena evolving on a network composed of oriented arcs. We prove the existence of global (in time) smooth solutions to this problem. The result is obtained by using energy estimates with suitable transmission…

Volterra discrete equations: summability of the fundamental matrix.

Conditions are proven which assure the summability of the first difference of the fundamental matrix of nonconvolution Volterra discrete equations. These conditions are applied to the \st analysis of some linear methods for solving Volterra integral equations of nonconvolution type.

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…

Supporting Function Calls within PELCR

In [M. Pedicini and F. Quaglia. A parallel implementation for optimal lambda-calculus reduction PPDP '00: Proceedings of the 2nd ACM SIGPLAN international conference on Principles and practice of declarative programming, pages 3–14, ACM, 2000, M. Pedicini and F. Quaglia. PELCR: Parallel environment…

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…

Boundary conditions for thermal lattice Boltzmann simulations

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…

The numerical treatment of hypersingular integral equations

Collocation and quadrature methods for singular integro-differential equations of Prandtl's type are studied in weighted Sobolev spaces as well as in weighted spaces of continuous functions. A fast algorithm based on the quadrature method is proposed. Convergence results and error estimates are…