Circle theorems for inviscid steady flows

DOI10.1016/0020-7225(80)90041-5zbMath0436.76018OpenAlexW2019199208MaRDI QIDQ1141039

E. M. Barston

Publication date: 1980

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(80)90041-5

zbMATH Keywords

linear stability analysisrotating flowswirling flowcircle theoremscomplex eigenfrequenciesconservative steady flowsinviscid steady flowsmagnetofluid

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Incompressible inviscid fluids (76B99)

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Cites Work

• Unnamed Item
• Unnamed Item
• Stability of magnetogasdynamic shear flow
• Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid
• On Hydromagnetic Stability of Stationary Equilibria
• Note on a paper of John W. Miles
• Stability of non-planar shear flow of a stratified fluid
• The ‘Richardson’ criterion for compressible swirling flows
• Eigenvalue problem for Lagrangian systems. VIII. Eigenvalue bounds with application to fluid and plasma flows
• On the stability of swirling flow in magnetogasdynamics
• Sufficient Conditions for Stability of Rotating Flows
• Stability of density stratified rotating flows.
• On the Stability of Compressible Swirling Flow
• On the hydrodynamic and hydromagnetic stability of swirling flows
• Joint Instability of Hydromagnetic Fields which are Separately Stable