36 citations · 130 across the 17 of their papers we have counts for
9 papers · 1 filter
Recent development in kinetic theory of granular materials: analysis and numerical methods
Jose Antonio Carrillo, Jingwei Hu, Zheng Ma +1
Over the past decades, kinetic description of granular materials has received a lot of attention in mathematical community and applied fields such as physics and engineering. This…
Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
Anissa Keurti, Thomas Rey
We present a new finite volume method for computing numerical approximations of a system of nonlocal transport equation modeling interacting species. This method is based on the wo…
Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations
Ward Melis, Thomas Rey, Giovanni Samaey
We present high-order, fully explicit projective integration schemes for nonlinear collisional kinetic equations such as the BGK and Boltzmann equation. The methods first take a fe…
Hydrodynamic limit of granular gases to pressureless Euler in dimension 1
Pierre-Emmanuel Jabin, Thomas Rey
We investigate the behavior of granular gases in the limit of small Knudsen number, that is very frequent collisions. We deal with the strongly inelastic case, in one dimension of…
Residual equilibrium schemes for time dependent partial differential equations
Lorenzo Pareschi, Thomas Rey
Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibriu…
A Spectral Study of the Linearized Boltzmann Equation for Diffusively Excited Granular Media
Thomas Rey
In this work, we are interested in the spectrum of the diffusively excited granular gases equation, in a space inhomogeneous setting, linearized around an homogeneous equilibrium.…
Large-time Behavior of the Solutions to Rosenau Type Approximations to the Heat Equation
Thomas Rey, Giuseppe Toscani
In this paper we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation, by showing that the solution to this approximation appr…
A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media
Francis Filbet, Thomas Rey
We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual…
Blow up Analysis for Anomalous Granular Gases
Thomas Rey
We investigate in this article the long-time behaviour of the solutions to the energy-dependant, spatially-homogeneous, inelastic Boltzmann equation for hard spheres. This model de…