On the spectral problem in the linear stability study of flows on a sphere

DOI10.1016/S0022-247X(02)00058-6zbMath1063.76023MaRDI QIDQ697433

Yuri N. Skiba

Publication date: 17 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

discrete spectrumembedding theoremsaccumulation point

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere, Instability of the Rossby-Haurwitz wave in the invariant sets of perturbations., On the existence and uniqueness of solution to problems of fluid dynamics 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, A note on the stability of inviscid zonal jet flows on a rotating sphere, Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part

Cites Work

• Approximation of smooth functions on the sphere \(S^ n \)by the Fourier method
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Stability of motion
• Completeness theorem for non-selfadjoint eigenvalue problems in hydrodynamic stability
• The stability of planetary waves on a sphere
• On the linear stability study of zonal incompressible flows on a sphere
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