TY - JOUR

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

T2 - Fine 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 is the Navier-Stokes system with non constant density. The density which is involved in this system is the sum of the (constant) density of the fluid and of the macroscopic density of the particles. The proof relies on a relative entropy method.

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 is the Navier-Stokes system with non constant density. The density which is involved in this system is the sum of the (constant) density of the fluid and of the macroscopic density of the particles. The proof relies on a relative entropy method.

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U2 - 10.1512/iumj.2004.53.2509

DO - 10.1512/iumj.2004.53.2509

M3 - Article

AN - SCOPUS:12744273874

SN - 0022-2518

VL - 53

SP - 1517

EP - 1536

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 6

ER -