6 papers
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…
The Semiclassical Limit of the 2D Dirac--Hartree Equation with Periodic Potentials
Jinyeop Lee, Kunlun Qi
We study the semiclassical limit of the two-dimensional Dirac--Hartree equation in the presence of a periodic external potential. The spinor dynamics are formulated using the matri…
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…
Solving the BGK Model and Boltzmann equation by Fourier Neural Operator with conservative constraints
Boyun Hu, Kunlun Qi
The numerical approximation of the Boltzmann collision operator presents significant challenges arising from its high dimensionality, nonlinear structure, and nonlocal integral for…
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…