3 citations · 6 across the 13 of their papers we have counts for
16 papers · 1 filter
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…
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…
The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field
Fei Wang, Lingda Xu, Zeren Zhang
We address a stability threshold problem of the Couette flow in a uniform magnetic fleld with for the 3D MHD equations on $\mathbb{T}\times\ma…
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…
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…
Nonlinear Stability of Planar Shock Waves for the 3-D Boltzmann Equation
Dingqun Deng, Lingda Xu
This paper studies the stability and large-time behavior of the three-dimensional (3-D) Boltzmann equation near shock profiles. We prove the nonlinear stability of the composite wa…
Nonlinear stability of planar shock wave to 3-D compressible Navier-Stokes equations in half space with Navier Boundary conditions
Lin Chang, Lingjun Liu, Lingda Xu
In this paper, we consider the large time behavior of planar shock wave for 3-D compressible isentropic Navier-Stokes equations (CNS) in half space. Providing the strength of the s…
Decay rate to the planar viscous shock wave for multi-dimensional scalar conservation laws
Lingjun Liu, Shu Wang, Lingda Xu
In this paper, we study the time-decay rate toward the planar viscous shock wave for multi-dimensional (m-d) scalar viscous conservation law. We first decompose the perturbation in…
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…
Nonlinear asymptotic stability of compressible vortex sheets with viscosity effects
Feimin Huang, Zhouping Xin, Lingda Xu +1
This paper concerns the stabilizing effect of viscosity on the vortex sheets. It is found that although a vortex sheet is not a time-asymptotic attractor for the compressible Navie…
Vanishing viscosity limit to the planar rarefaction wave with vacuum for 3-D full compressible Navier-Stokes equations with temperature-dependent transport coefficients
Meichen Hou, Lingjun Liu, Shu Wang +1
In this paper, we construct a family of global-in-time solutions of the 3-D full compressible Navier-Stokes (N-S) equations with temperature-dependent transport coefficients (inclu…
Nonlinear stability of the composite wave of planar rarefaction waves and planar contact waves for viscous conservation laws with non-convex flux under multi-dimensional periodic perturbations
Meichen Hou, Lingda Xu
In this paper, we study the nonlinear stability of the composite wave consisting of planar rarefaction and planar contact waves for viscous conservation laws with degenerate flux u…
Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations
Lingjun Liu, Danli Wang, Lingda Xu
Considering the space-periodic perturbations, we prove the time-asymptotic stability of the composite wave of a viscous contact wave and two rarefaction waves for the Cauchy proble…