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On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

Rotation is a crucial characteristic of fluid flow in the atmosphere and oceans, which is present in nearly all meteorological and geophysical models. The global existence of solutions to the 3D Navier-Stokes equations with large rotation has been established through the dispersion effect resulting from Coriolis force (i.e., rotation). In …