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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
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