On the linear stability study of zonal incompressible flows on a sphere

DOI<649::AID-NUM7>3.0.CO;2-I 10.1002/(SICI)1098-2426(199809)14:5<649::AID-NUM7>3.0.CO;2-IzbMath0933.76027OpenAlexW1963551779MaRDI QIDQ4241702

Yuri N. Skiba, Julián Adem

Publication date: 29 March 2000

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199809)14:5<649::aid-num7>3.0.co;2-i

zbMATH Keywords

exponential stabilityspherical harmonicsLegendre polynomialstability matrixrotating spherealgebraic stabilityinfinitesimal perturbationssmall-scale perturbationsrecurrent formula for nonlinear triad interaction coefficientsvorticity equation operator

Mathematics Subject Classification ID

Rotation in hydrodynamic stability (76E07)

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Integration of barotropic vorticity equation over spherical geodesic grid using multilevel adaptive wavelet collocation method ⋮ Instability of the Rossby-Haurwitz wave in the invariant sets of perturbations. ⋮ On the spectral problem in the linear stability study of flows on a sphere ⋮ On the structure and growth rate of unstable modes to the Rossby‐Haurwitz wave ⋮ Linear instability of ideal flows on a sphere ⋮ Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part

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