8 papers · 1 filter
Expanding solutions to the compressible Navier-Stokes equations with degenerate viscosities in spherical symmetry: global existence and inviscid limit
Shuying Hu, Zhouping Xin, Yuan Yuan
This paper is devoted to studying the strong solutions to the vacuum free boundary problem for the isentropic compressible Navier-Stokes equations with density-dependent viscositie…
Asymptotic stability of shock profiles and rarefaction waves to the Navier-Stokes-Poisson system under space-periodic perturbations
Yeping Li, Yu Mei, Yuan Yuan
This paper concerns with the large-time behaviors of the viscous shock profile and rarefaction wave under initial perturbations which tend to space-periodic functions at infinities…
Periodic perturbations of a composite wave of two viscous shocks for 1-D full compressible Navier-Stokes equations
Qian Yuan, Yuan Yuan
This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-D full compressible Navier-Stokes e…
On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws
Qian Yuan, Yuan Yuan
This paper is concerned with the large time behaviors of the entropy solutions to one-dimensional scalar convex conservation laws, of which the initial data are assumed to approach…
Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws
Zhouping Xin, Qian Yuan, Yuan Yuan
This paper studies the asymptotic stability of shock profiles and rarefaction waves under space-periodic perturbations for one-dimensional convex scalar viscous conservation laws.…
On the self-similar solution to full compressible Navier-Stokes equations without heat conductivity
Xin Liu, Yuan Yuan
In this work, we establish a class of globally defined, large solutions to the free boundary problem of compressible Navier-Stokes equations with constant shear viscosity and vanis…