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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…
math.AP2025
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…
math.AP2024
From the Boltzmann equation for gas mixture to the two-fluid incompressible hydrodynamic system
Zhendong Fang, Kunlun Qi
In this paper, we study the hydrodynamic limit transition from the Boltzmann equation for gas mixtures to the two-fluid macroscopic system. Employing a meticulous dimensionless ana…