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20212023
most citedDecay rate to the planar viscous shock wave for multi-dimensional scalar conservation laws

1 citations · 1 across the 6 of their papers we have counts for

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math.AP2023

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…

math.AP2023★ 1 cited

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…

math.AP2023

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…

math.AP2023

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…

math.AP2023

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…