3 papers
math.AP2026
Existence and partial regularity of suitable weak solutions to the 3D Navier-Stokes-Vlasov-Fokker-Planck equations
Renjun Duan, Fengqiang Shi, Wendong Wang +1
In this paper, we investigate the incompressible Navier-Stokes equations coupled with the Vlasov-Fokker-Planck equation, which describes a two-phase mixture of the viscous incompre…
math.AP2026
Asymptotic stability of steady states for the compressible Navier-Stokes-Riesz system in the presence of vacuum
José A. Carrillo, Renjun Duan, Aneta Wróblewska-Kamińska +1
We consider a one-dimensional physical vacuum free boundary problem on the compressible Navier-Stokes-Riesz system for an attractive Riesz potential with $0<s<1…
math.AP2025
Asymptotic stability of planar entropy wave for 3-d Navier-Stokes equations in Eulerian coordinates
Ren-Jun Duan, Feimin Huang, Rui Li +1
We investigate the large-time asymptotic behavior toward the planar entropy wave for the three-dimensional Navier-Stokes equations in Eulerian coordinates, considering two types of…