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Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations
Asymptotic analysis Vlasov-Fokker-Planck Compressible Navier-Stokes system of equations
2015/10/15
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...
The global strong solution for Navier-Stokes equations in 3D thin domains with Navier-friction boundary conditions
3D Navier-Stokes equations thin domains Navier-friction boundary conditions attractors
2011/10/19
In this paper, we consider Navier-Stokes equations in thin 3D thin domain with more general Navier-friction boundary conditions (2.4) (compare with boundary condition in [1]). We prove the global exis...
Regularity of coupled two-dimensional Nonlinear Fokker-Planck and Navier-Stokes Systems
Nonlinear Fokker-Planck equations Navier-Stokes equations microscopic variables Deborah number
2014/4/4
We consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The particles add stress...
Nonlinear Fokker-Planck Navier-Stokes Systems
Fokker-Planck equations Navier-Stokes equations Smoluchowski equations microscopic inclusions
2014/4/4
We consider Navier-Stokes equations coupled to nonlinear FokkerPlanck equations describing the probability distribution of particles interacting with fluids. We describe relations determining the coef...