100 citations · 251 across the 23 of their papers we have counts for
23 papers
On the derivation of new non-classical hydrodynamic equations for Hamiltonian particle systems
Raffaele Esposito, Rossana Marra
We consider a Hamiltonian system of particles, interacting through of a smooth pair potential. We look at the system on a space scale of order ε^1, times of order ε^2, and mean vel…
Ghost Effect from Boltzmann Theory: Expansion with Remainder
Raffaele Esposito, Yan Guo, Rossana Marra +1
Consider the limit of the steady Boltzmann problem \begin{align} v\cdot\nabla_x\mathfrak{F}=\varepsilon^{-1}Q[\mathfrak{F},\mathfrak{F}],\quad \mathfrak{F…
Ghost Effect from Boltzmann Theory
Raffaele Esposito, Yan Guo, Rossana Marra +1
Taking place naturally in a gas subject to a given wall temperature distribution [Maxwell1879], the ``ghost effect'' exhibits a rare kinetic effect beyond the prediction of classic…
Diffusive limit for a Boltzmann-like equation with non-conserved momentum
Raffaele Esposito, Pedro G. Garrido, Joel L. Lebowitz +1
We consider a kinetic model whose evolution is described by a Boltzmann-like equation for the one-particle phase space distribution . There are hard-sphere collisions bet…
Uniqueness of the Non-Equilibrium Steady State for a d BGK model in kinetic theory
Eric Carlen, Raffaele Esposito, Joel Leibowitz +2
We continue our investigation of kinetic models of a one-dimensional gas in contact with homogeneous thermal reservoirs at different temperatures. Nonlinear collisional interaction…
Hydrodynamic Limit of a Kinetic Gas Flow Past an Obstacle
Raffaele Esposito, Yan Guo, Rossana Marra
Given an obstacle in and a non-zero velocity with small amplitude at the infinity, we construct the unique steady Boltzmann solution flowing around such an obstacle…