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A Model for Magnetohydrodynamic Convection Relevant to the Solar Dynamo Problem
Author(s) -
Kennett Rosemary G.
Publication year - 1976
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm197655165
Subject(s) - dynamo , magnetohydrodynamic drive , dynamo theory , solar dynamo , physics , convection , magnetohydrodynamics , magnetic field , action (physics) , mechanics , classical mechanics , mathematics , quantum mechanics
An extension of the minimal convective system of Lorenz, Howard and Malkus to three‐dimensional motions in an electrically conducting fluid is presented. It is shown that at conditions relevant to the sun this system exhibits linearly stable periodic solutions with a non‐zero magnetic field, which are suggestive of dynamo action.