7 papers
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 threshold…
Hydrodynamic limit of rarefaction wave for the Vlasov-Maxwell-Landau system with Coulomb potential
Guanghui Wang, Lingda Xu, Tong Yang +1
In this paper, we investigate the hydrodynamic limit of rarefaction wave for the two-species Vlasov-Maxwell-Landau(VML) system with Coulomb potential. We prove that for any given t…
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…
Asymptotic stability of the composite wave of rarefaction wave and contact wave to nonlinear viscoelasticity model with non-convex flux
Zhenhua Guo, Meichen Hou, Guiqin Qiu +1
In this paper, we consider the wave propagations of viscoelastic materials, which has been derived by Taiping-Liu to approximate the viscoelastic dynamic system with fading memory…
Optimal decay rates to the contact wave for 1-D compressible Navier-Stokes equations
Lingjun Liu, Shu Wang, Lingda Xu
This paper investigates the decay rates of the contact wave in one-dimensional Navier-Stokes equations. We study two cases of perturbations, with and without zero mass condition, i…