2 citations · 2 across the 5 of their papers we have counts for
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Shock profiles for the Navier--Stokes--Fourier--Poisson system under the Boltzmann relation
Renjun Duan, Rui Li
The one-dimensional compressible Navier--Stokes--Fourier--Poisson system under the Boltzmann relation is studied for the existence of small-amplitude viscous shock profiles connect…
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…
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…
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…
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…
Nonlinear stability threshold for compressible Couette flow
Feimin Huang, Rui Li, Lingda Xu
This paper concerns the Couette flow for 2-D compressible Navier-Stokes equations (N-S) in an infinitely long flat torus $\Torus\times\R$. Compared to the incompressible flow, the…