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math.AP2019
Stability threshold of the 2D Couette flow in Sobolev spaces
Nader Masmoudi, Weiren Zhao
We study the stability threshold of the 2D Couette flow in Sobolev spaces at high Reynolds number . We prove that if the initial vorticity satisfies $\|Ω_{in}-(-1)\|_{…
math.AP2019
Enhanced dissipation for the 2D Couette flow in critical space
Nader Masmoudi, Weiren Zhao
We consider the 2D incompressible Navier-Stokes equations on , with initial vorticity that is close in to (the vorticity of…