Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime. Thierry GoudonPierre-Emmanue JabinAlexis Vasseur 35Q9935B25fluid-particles interationVlasov-Navier-Stokes equationhydrodynamic limits The paper is devoted to the analysis of a hydrodynamic limit for the Vlasov-Navier-Stokes equations. This system is intended to model the evolution of particles interacting with a fluid. The coupling arises from the force terms. The limit problem consists of an advection-diffusion equation for the macroscopic density of the particles, the drift velocity being solution of the incompressible Navier-Stokes equation. Indiana University Mathematics Journal 2004 text pdf 10.1512/iumj.2004.53.2508 10.1512/iumj.2004.53.2508 en Indiana Univ. Math. J. 53 (2004) 1495 - 1516 state-of-the-art mathematics http://iumj.org/access/