Localized vorticity perturbations of 2D Couette flow relax to the linearized diffusion profile with rate t^{-1/2} after an explicit Reynolds-dependent time, for large data.
Ben-Artzi, Global solutions of two-dimensional Navier-Stokes and Euler equations,Arch
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Nonlinear Evolution Toward the Linear Diffusive Profile in the Presence of Couette Flow
Localized vorticity perturbations of 2D Couette flow relax to the linearized diffusion profile with rate t^{-1/2} after an explicit Reynolds-dependent time, for large data.