3 citations · 6 across the 13 of their papers we have counts for
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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…