A model for magnetohydrodynamic convection relevant to the solar dynamo problem

Mathematics

Scientific paper

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Convective Flow, Dynamo Theory, Magnetohydrodynamic Flow, Mathematical Models, Numerical Stability, Solar Magnetic Field, Boussinesq Approximation, Dimensionless Numbers, Dynamic Models, Periodic Functions, Rayleigh Number, Three Dimensional Flow

Scientific paper

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.

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