16 citations · 20 across the 5 of their papers we have counts for
5 papers
Global nonlinear stability of vortex sheets for the Navier-Stokes equations with large data
Qian Yuan, Wenbin Zhao
This paper concerns the global nonlinear stability of vortex sheets for the Navier-Stokes equations. When the Mach number is small, we allow both the amplitude and vorticity of the…
Nonlinear asymptotic stability of compressible vortex sheets with viscosity effects
Feimin Huang, Zhouping Xin, Lingda Xu +1
This paper concerns the stabilizing effect of viscosity on the vortex sheets. It is found that although a vortex sheet is not a time-asymptotic attractor for the compressible Navie…
Time-asymptotic stability of planar Navier-Stokes shocks with spatial oscillations
Qian Yuan
This paper shows that for the three-dimensional compressible isentropic Navier-Stokes equations, the planar viscous shocks are time-asymptotically stable to suitably small initial…
Stability of planar rarefaction waves for scalar viscous conservation law under periodic perturbations
Feimin Huang, Qian Yuan
The large time behavior of the solutions to a multi-dimensional viscous conservation law is considered in this paper. It is shown that the solution time-asymptotically tends to the…
Stability of large-amplitude viscous shock under periodic perturbation for 1-d isentropic Navier-Stokes equations
Feimin Huang, Qian Yuan
The stability of solutions under periodic perturbations for both inviscid and viscous conservation laws is an interesting and important problem. In this paper, a large-amplitude vi…