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math.AP2026
Limiting Pointwise Decay for the compressible isentropic Navier-Stokes equations
Rui Li, Xu Song, Guanghui Wang +1
We study the long-time pointwise behavior of small localized perturbations of a constant state for the one-dimensional compressible isentropic Navier-Stokes equations. After subtra…
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 thresholds…