Luo, Xiang Linear inviscid damping for monotonic shear flows under the two dimensional \(\beta \)-plane equation. (English) Zbl 1463.35083 J. Univ. Sci. Technol. China 49, No. 11, 892-896 (2019). 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 Keywords:\(\beta \)-plane equation; linear asymptotic stability; inviscid damping PDF BibTeX XML Cite \textit{X. Luo}, J. Univ. Sci. Technol. China 49, No. 11, 892--896 (2019; Zbl 1463.35083) Full Text: DOI OpenURL