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 -