3 papers
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
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…