1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
Global existence of spherically symmetry solutions for isothermal Euler-Poisson system outside a ball
Lingjun Liu
In this paper, we consider an isothermal Euler-Poisson system with self-gravitational force, modeling a compact star such as strange quark star. We prove that there exists a global…
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…
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…
Weak entropy solution for a Keller-Segel type fluid model
Li Chen, Feimin Huang, Lingjun Liu
In this paper, we consider a Keller-Segel type fluid model, which is a kind of Euler-Poisson system with a self-gravitational force. We show that similar to the parabolic case, the…