TY - JOUR

T1 - Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I

T2 - Light particles regime

AU - Goudon, Thierry

AU - Jabin, Pierre Emmanuel

AU - Vasseur, Alexis

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=12744281731&partnerID=8YFLogxK

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U2 - 10.1512/iumj.2004.53.2508

DO - 10.1512/iumj.2004.53.2508

M3 - Article

AN - SCOPUS:12744281731

SN - 0022-2518

VL - 53

SP - 1495

EP - 1515

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 6

ER -