73 citations · 188 across the 8 of their papers we have counts for
5 papers · 1 filter
A Derivation of the Vlasov-Stokes System for Aerosol Flows from the Kinetic Theory of Binary Gas Mixtures
Etienne Bernard, Laurent Desvillettes, François Golse +1
In this short paper, we formally derive the thin spray equation for a steady Stokes gas, i.e. the equation consists in a coupling between a kinetic (Vlasov type) equation for the d…
A Derivation of the Vlasov-Navier-Stokes Model for Aerosol Flows from Kinetic Theory
Etienne Bernard, Laurent Desvillettes, François Golse +1
This article proposes a derivation of the Vlasov-Navier-Stokes system for spray/aerosol flows. The distribution function of the dispersed phase is governed by a Vlasov-equation, wh…
Empirical Measures and Vlasov Hierarchies
François Golse, Clément Mouhot, Valeria Ricci
The present note reviews some aspects of the mean field limit for Vlasov type equations with Lipschitz continuous interaction kernel. We discuss in particular the connection betwee…
Derivation of a homogenized two-temperature model from the heat equation
Laurent Desvillettes, François Golse, Valeria Ricci
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusio…
The Mean-Field Limit for Solid Particles in a Navier-Stokes Flow
Laurent Desvillettes, François Golse, Valeria Ricci
We propose a mathematical derivation of Brinkman's force for a cloud of particles immersed in an incompressible fluid. Our starting point is the Stokes or steady Navier-Stokes equa…