Stability and asymptotic analysis of a fluid-particle interaction model

José A. Carrillo; Thierry Goudon

doi:10.1080/03605300500394389

Stability and asymptotic analysis of a fluid-particle interaction model

José A. Carrillo, Thierry Goudon

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-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 language	English
Pages (from-to)	1349-1379
Journal	Communications in Partial Differential Equations
Volume	31
Issue number	9
DOIs	https://doi.org/10.1080/03605300500394389
Publication status	Published - 1 Sep 2006

Keywords

Fluid-particles interaction
Hydrodynamic limit
Stability
Vlasov-Euler system

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N2 - 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.

AB - 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.

KW - Fluid-particles interaction

KW - Hydrodynamic limit

KW - Stability

KW - Vlasov-Euler system

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