Stability and asymptotic analysis of a fluid-particle interaction model

José A. Carrillo, Thierry Goudon

Research output: Contribution to journalArticleResearchpeer-review

74 Citations (Scopus)

Abstract

We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces. We also study some asymptotic problems, their equilibria and stability and the derivation of macroscopic two-phase models. Copyright © Taylor & Francis Group, LLC.
Original languageEnglish
Pages (from-to)1349-1379
JournalCommunications in Partial Differential Equations
Volume31
Issue number9
DOIs
Publication statusPublished - 1 Sep 2006

Keywords

  • Fluid-particles interaction
  • Hydrodynamic limit
  • Stability
  • Vlasov-Euler system

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