Nonlinear dynamo action in hydrodynamic instabilities driven by shear

DOI10.1080/03091920600581154zbMath1206.76080OpenAlexW2059642610MaRDI QIDQ3081203

Andrew D. Gilbert, Pu Zhang

Publication date: 5 March 2011

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

Full work available at URL: https://doi.org/10.1080/03091920600581154

zbMATH Keywords

Taylor-Couette instabilitydynamoastrophysical magnetic fieldsEkman instability

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Cites Work

• Rigorous bounds on the fast dynamo growth rate involving topological entropy
• Kinematic dynamo action in large magnetic Reynolds number flows driven by shear and convection
• A nonlinear dynamo driven by rapidly rotating convection
• Dynamo action in flows with cat's eyes
• The influence of the horizontal component of Earth's angular velocity on the instability of the Ekman layer
• Shear instability of differential rotation in stars
• Transitions to complex flows in the Ekman–Couette layer
• Dynamo action in simple convective flows
• Absolute instability of the Ekman layer and related rotating flows
• Linear stability of rotating convection in an imposed shear flow
• Tertiary solutions and their stability in rotating plane Couette flow
• The onset of thermal convection in EkmanCouette shear flow with oblique rotation
• A Taylor-Couette dynamo
• Nonlinear dynamo action in rotating convection and shear

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