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.
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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 -