On nonlinear stability of stationary Euler flows on a rotating sphere

DOI10.1016/0022-247X(88)90231-4zbMath0672.76053MaRDI QIDQ1120406

Carlo Marchioro, Silvia Caprino

Publication date: 1988

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

zbMATH Keywords

Lyapunov stabilityEuler flows\(\beta\)-plane approximationArnold methodoceanographic problems

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05)

Related Items (7)

Euler equation on a rotating surface ⋮ Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere ⋮ Nonlinear stability for stationary helical vortices ⋮ On zonal steady solutions to the 2D Euler equations on the rotating unit sphere ⋮ On the existence of two-dimensional Euler flows satisfying energy-Casimir stability criteria ⋮ A remark on the stability problem in fluid dynamics ⋮ Linear instability of ideal flows on a sphere

Cites Work

• Some considerations on the nonlinear stability of stationary planar Euler flows
• Nonlinear stability of circular vortex patches
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Nonlinear stability of fluid and plasma equilibria
• Mass transfer from small particles suspended in turbulent fluid
• On nonlinear hydrodynamic stability of planetary vortices
• On an apriori estimate in the theory of hydrodynamical stability
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