3 papers
math.AP2025
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…
math.AP2021
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…
math.AP2020
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…