4 citations · 4 across the 4 of their papers we have counts for
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The small Deborah number limit for the fluid-particle flows: incompressible case
Zhendong Fang, Kunlun Qi, Huanyao Wen
This work is devoted to the study of the hydrodynamic limit for the fluid-particle flows governed by the Vlasov-Fokker-Planck (VFP) equation coupled with the incompressible Navier-…
A Quantitative Hydrodynamic Limit for the Vlasov-Fokker-Planck/Navier-Stokes System in the Fine Particle Regime
Zhendong Fang, Jian Li, Kunlun Qi +1
We justify the hydrodynamic limit of the Vlasov-Fokker-Planck equation coupled with the incompressible Navier--Stokes equation in the fine regime with a quantitative convergence ra…
The small Deborah number limit for the compressible fluid-particle flows
Zhendong Fang, Kunlun Qi, Huanyao Wen
In this paper, we consider the hydrodynamic limit for the fluid-particle flows governed by the Vlasov-Fokker-Planck equation coupled with the compressible Navier-Stokes equation as…
Hydrodynamic limit of the Vlasov-Poisson-Fokker-Planck system in low-field regime
Zhendong Fang, Kunlun Qi
In this paper, we study the hydrodynamic limit of the scaled Vlasov-Poisson-Fokker-Planck (VPFP) system in the low-field regime. By employing the moment method, we formally derive…
Formal derivations from Boltzmann equation to three stationary equations
Zhendong Fang
In this paper, we concentrate on the connection between Boltzmann equation and stationary equations. To our knowledge, the stationary Navier-Stokes-Fourier system, the stationary E…