3 papers
math.AP2026
Nonlinear stability and optimal decay rate of the planar entropy wave for Landau equation
Renjun Duan, Feimin Huang, Rui Li +1
This paper investigates the nonlinear asymptotic stability and optimal decay rates of entropy waves for the Landau equation with physically realistic Coulomb interactions under gen…
math.AP2026
Nonlinear stability threshold for 3D compressible Couette flow
Rui Li, Fei Wang, Lingda Xu +1
We establish the nonlinear stability threshold for the three-dimensional Couette flow governed by the compressible Navier--Stokes equations. While stability threshold…
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…