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CG: On dynamo theories for cosmological magnetic fields – Rubio

April 19 @ 12:30 pm 12:45 pm CMT

We present well-posedness results for two particular theories aiming to model large-scale magnetic field amplification. We report on the existence of spurious modes when the electromotive force is linear in the magnetic field, making the theory unsuitable in the kinematic regime. We then prove that this pathology is actually removed when allowing magnetic field derivatives in such a force. Finally, we give bounds for the magnetic energy in the force-free regime and generalise some of these results for full non-relativistic MHD.

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