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Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $β$-Plane
We study the spectral stability of periodic shear flows for the two-dimensional Navier--Stokes equations on the $β$-plane in the long-wave regime. While it is known that non-rotating periodic shear flows are generically unstable to sufficiently long-wave perturbations, our results show that planetar
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