We prove the time-asymptotic stability of composite waves consisting of the superposition of
a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navier …

We establish the time-asymptotic stability of solutions to the one-dimensional compressible
Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that forms a …

We prove the nonlinear stability of the planar viscous shock up to a time-dependent shift for
the three-dimensional (3D) compressible Navier–Stokes equations under the generic …

This paper is concerned with the large-time behavior of solutions for the one-dimensional
compressible Navier-Stokes system. We show that the combination of a viscous contact …

We prove time-asymptotic stability toward the planar rarefaction wave for the three-
dimensional full, compressible Navier–Stokes equations with the heat-conductivities in an …

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 …

We consider a L 2-contraction (a L 2-type stability) of large viscous shock waves for the multi-
dimensional scalar viscous conservation laws, up to a suitable shift by using the relative …

We study the nonlinear stability of a composite wave pattern, which is a combination of a
viscous contact wave with a rarefaction wave, to the Cauchy problem of one-dimensional …

We consider the Riemann problem composed of two shocks for the 1D Euler system. We
show that the Riemann solution with two shocks is stable and unique in the class of weak …

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 …