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math.AP2026
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…
math.AP2026
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…