Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane

Robin Ming Chen, Tian Dai, Dehua Wang +1

We study the spectral stability of periodic shear flows for the two-dimensional Navier--Stokes equations on the $\beta$-plane in the long-wave regime. While it is known that non-rotati…