3 papers
math.AP2026
Global existence and vanishing viscosity limit of the compressible Navier-Stokes-Vlasov-Fokker-Planck system in critical spaces
Hai-Liang Li, Ling-Yun Shou
We study multidimensional compressible fluid-particle systems at critical regularity, in which a carrier fluid and a particle phase with Fokker-Planck diffusion are coupled through…
math.AP2025
Large-friction and incompressible limits for pressureless Euler-Navier-Stokes flows
Hai-Liang Li, Ling-Yun Shou, Yue Zhang
We study the global macroscopic limits associated with kinetic-fluid interaction models for sprays. Motivated by the Vlasov-Navier-Stokes system under the monokinetic ansatz, we co…
math.AP2023
Exponential Stability of the Inhomogeneous Navier-Stokes-Vlasov System in Vacuum
Hai-Liang Li, Ling-Yun Shou, Yue Zhang
In this paper, we study the asymptotic behaviors of solutions to the inhomogeneous Navier-Stokes-Vlasov system in , where the initial fluid dens…