SATURN'S LONGITUDE: RISE OF THE SECOND BRANCH OF SHEAR-STABILITY THEORY AND FALL OF THE FIRST

DOI10.1142/S0218271814300067zbMath1284.85001OpenAlexW2037731977MaRDI QIDQ5411381

Timothy E. Dowling

Publication date: 23 April 2014

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218271814300067

zbMATH Keywords

potential vorticitySaturnshear stabilityvortensity

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15) Research exposition (monographs, survey articles) pertaining to astronomy and astrophysics (85-02)

Cites Work

• General stability conditions for zonal flows in a one-layer model on the β-plane or the sphere
• An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems
• On hydraulic control in a stratified fluid
• General stability conditions for a multi-layer model
• The Decay of Axisymmetric Magnetic Fields: A Review of Cowling’s Theorem
• Validity of the One and One-Half Layer Quasi-Geostrophic Model and Effective Topography
• The Nature of Light
• The passage of a perfect fluid through a critical cross-section or ‘throat’

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