Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part II: Fine particles regime

Thierry Goudon, Pierre Emmanuel Jabin, Alexis Vasseur

Research output: Contribution to journalArticlepeer-review

76 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1517-1536
Number of pages20
JournalIndiana University Mathematics Journal
Volume53
Issue number6
DOIs
StatePublished - 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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