Kinematic dynamo action in a sphere: Effects of periodic time-dependent flows on solutions with axial dipole symmetry

DOI10.1080/03091920412331312402zbMath1206.86038arXivphysics/0409145OpenAlexW2169912214WikidataQ56326360 ScholiaQ56326360MaRDI QIDQ3080184

D. Gubbins, Ashley P. Willis

Publication date: 5 March 2011

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

Full work available at URL: https://arxiv.org/abs/physics/0409145

zbMATH Keywords

Floquet theoryeigenvalue problemsgeomagnetismkinematic dynamostime-dependent stability

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Geo-electricity and geomagnetism (86A25)

Uses Software

• ARPACK

Cites Work

• A class of self-sustaining dissipative spherical dynamos
• Krylov methods for the incompressible Navier-Stokes equations
• Kinematic dynamo action in a sphere. II. Symmetry selection
• Kinematic dynamo action in a sphere. I. Effects of differential rotation and meridional circulation on solutions with axial dipole symmetry
• Three-Dimensional Dynamo Waves In a Sphere
• ARPACK Users' Guide
• On magnetic energy instability in spherical stationary flows
• Three-dimensional kinematic dynamos dominated by strong differential rotation
• Destabilization by noise of transverse perturbations to heteroclinic cycles: a simple model and an example from dynamo theory

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