Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations
نویسندگان
چکیده
This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system is used, for example, to model fluid-particles interactions arising in sprays, aerosols or sedimentation problems. The asymptotic regime corresponding to a strong drag force and a strong Brownian motion is studied and the convergence toward a two phases macroscopic model is proved. The proof relies on a relative entropy method.
منابع مشابه
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations
We establish the existence of a weak solutions for a coupled system of kinetic and fluid equations. More precisely, we consider a Vlasov-FokkerPlanck equation coupled to compressible Navier-Stokes equation via a drag force. The fluid is assumed to be barotropic with γ-pressure law (γ > 3/2). The existence of weak solutions is proved in a bounded domain of R with homogeneous Dirichlet conditions...
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