## Linear inviscid damping for monotonic shear flows under the two dimensional $$\beta$$-plane equation.(English)Zbl 1463.35083

Summary: The linear asymptotic stability of a class of strictly monotonic shear flows was established under the two dimensional $$\beta$$-plane equation in an infinite periodic channel of period $$2\pi$$, $$\mathbb{T} \times \mathbb{R}$$.

### MSC:

 35B35 Stability in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 76E05 Parallel shear flows in hydrodynamic stability 76E20 Stability and instability of geophysical and astrophysical flows
Full Text: