3 papers
math.AP2023
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
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…