Instability of planetary flows using Riemann curvature: a numerical study

DOI10.1080/03091929.2018.1514038OpenAlexW2963167420WikidataQ114640088 ScholiaQ114640088MaRDI QIDQ5065648

R. Blender

Publication date: 22 March 2022

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6317

zbMATH Keywords

Riemann curvatureinstabilitiesfluid dynamics

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Fluid mechanics (76-XX)

Related Items (1)

Curvature and stability of quasi-geostrophic motion

Cites Work

• Unnamed Item
• Curvature of groups of diffeomorphisms preserving the measure of the 2- sphere
• Geometrical aspects in hydrodynamics and integrable systems
• For ideal fluids, Eulerian and Lagrangian instabilities are equivalent
• Riemannian curvature on the group of area-preserving diffeomorphisms (motions of fluid) of 2-sphere
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Structure of the curvature tensor of the group of measure-preserving diffeomorphisms of a compact two-dimensional manifold
• Area-preserving diffeomorphisms and the stability of the atmosphere

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