Journal
INDIANA UNIVERSITY MATHEMATICS JOURNAL
Volume 53, Issue 6, Pages 1517-1536Publisher
INDIANA UNIV MATH JOURNAL
DOI: 10.1512/iumj.2004.53.2509
Keywords
fluid-particles interaction; Vlasov-Navier-Stokes equation hydrodynamic limits; relative entropy method
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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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