2 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.AP2024
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…