Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime

Thierry Goudon, Pierre Emmanuel Jabin, Alexis Vasseur

Research output: Contribution to journalArticlepeer-review

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 consists of an advection-diffusion equation for the macroscopic density of the particles, the drift velocity being solution of the incompressible Navier-Stokes equation.

Original languageEnglish (US)
Pages (from-to)1495-1515
Number of pages21
JournalIndiana University Mathematics Journal
Volume53
Issue number6
DOIs
StatePublished - 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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