152 citations · 167 across the 4 of their papers we have counts for
4 papers
Macroscopic description of microscopically strongly inhomogenous systems: A mathematical basis for the synthesis of higher gradients metamaterials
Antonio Carcaterra, Francesco dell'Isola, Raffaele Esposito +1
We consider the time evolution of a one dimensional -gradient continuum. Our aim is to construct and analyze discrete approximations in terms of physically realizable mechanical…
Backward Clusters, Hierarchy and Wild Sums for a Hard Sphere System in a Low-Density Regime
K. Aoki, M. Pulvirenti, S. Simonella +1
We study the statistics of backward clusters in a gas of hard spheres at low density. A backward cluster is defined as the group of particles involved directly or indirectly in the…
On a constrained 2-D Navier-Stokes equation
E. Caglioti, M. Pulvirenti, F. Rousset
The planar Navier-Stokes equation exhibits, in absence of external forces, a trivial asymptotics in time. Nevertheless the appearence of coherent structures suggests non-trivial in…
On The Weak-Coupling Limit for Bosons and Fermions
Dario Benedetto, François Castella, Raffaele Esposito +1
In this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We…