The nonlinear stability threshold for 3D compressible Couette flow is O(ν^{3/2}).
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Proves global nonlinear stability of 2D compressible Couette flow for Navier-Stokes at high Re under Sobolev perturbations of size O(ε Re^{-1}).
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Nonlinear stability threshold for 3D compressible Couette flow
The nonlinear stability threshold for 3D compressible Couette flow is O(ν^{3/2}).
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Nonlinear stability of 2-D Couette flow for the compressible Navier-Stokes equations at high Reynolds number
Proves global nonlinear stability of 2D compressible Couette flow for Navier-Stokes at high Re under Sobolev perturbations of size O(ε Re^{-1}).