Instability of the Rossby-Haurwitz wave in the invariant sets of perturbations.

DOI10.1016/j.jmaa.2003.10.039zbMath1221.76090OpenAlexW2091639666MaRDI QIDQ1428254

Yuri N. Skiba

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.039

zbMATH Keywords

Rossby-Haurwitz waveideal incompressible flowLyapunov and exponential instability

Mathematics Subject Classification ID

Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (3)

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

Cites Work

• On the spectral problem in the linear stability study of flows on a sphere
• Stability by Liapunov's direct method. With applications
• Nonlinear stability for saddle solutions of ideal flows and symmetry breaking
• Note on the nonlinear stability of equivalent barotropic flows
• Stability of motion
• The stability of planetary waves on a sphere
• On the linear stability study of zonal incompressible flows on a sphere
• Solvability of the data assimilation problem in the scale of Hilbert spaces for quasilinear singularly perturbed evolutionary problems
• Initial condition reconstruction problem for a viscous barotropic fluid dynamic equation on a sphere
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