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math.AP2024
Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces
Rajendra Beekie, Siming He
We study the stability of spectrally stable, strictly monotone, smooth shear flows in the 2D Navier-Stokes equations on with small viscosity . We…
math.AP2024
Uniform vorticity depletion and inviscid damping for periodic shear flows in the high Reynolds number regime
Rajendra Beekie, Shan Chen, Hao Jia
We study the dynamics of the two dimensional Navier-Stokes equations linearized around a shear flow on a (non-square) torus which possesses exactly two non-degenerate critical poin…