4 papers
Global well-posedness and Newtonian limit of the compressible upper-convected Maxwell model in analytic spaces
Renyong Guan, Yuxi Hu
In this paper, we investigate the compressible upper-convected Maxwell (UCM) system in \(\mathbb{R}^3\), which corresponds to the purely elastic case of the compressible Oldroyd-B…
Asymptotic stability of planar viscous shock wave to three-dimensional relaxed compressible Navier-Stokes equations
Renyong Guan, Yuxi Hu
This paper establishes the nonlinear time-asymptotic stability of shifted planar viscous shock waves for the three-dimensional relaxed compressible Navier-Stokes equations, in whic…
Asymptotic stability of composite waves of two viscous shocks for relaxed compressible Navier-Stokes equations
Renyong Guan, Yuxi Hu
This paper investigates the time asymptotic stability of composite waves formed by two shock waves within the context of one-dimensional relaxed compressible Navier-Stokes equation…
Asymptotic stability of composite waves of viscous shock and rarefaction for relaxed compressible Navier-Stokes equations
Renyong guan, Yuxi Hu
The time asymptotic stability for one-dimensional relaxed compressible Navier-Stokes equations is studied. We show that the composite waves of viscous shock and rarefaction are asy…