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Bounds on Energies and Dissipation Rates in Forced Dynamos

Published version
Peer-reviewed

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Abstract

jats:pThis paper is concerned with limits on kinetic and magnetic energies and dissipation rates in forced flows that lead to dynamo action and a finite amplitude magnetic field. Rigorous results are presented giving upper and lower limits on the values of these quantities, in a simple cubic geometry with periodic boundary conditions, using standard inequalities. In addition to the general case, results in the special case of the Archontis dynamo are presented, in which fields and flows are closely similar in much of the domain.</jats:p>

Description

Keywords

magnetohydrodynamics, dynamo theory, rigorous bounds

Journal Title

Physics (Switzerland)

Conference Name

Journal ISSN

2624-8174
2624-8174

Volume Title

4

Publisher

MDPI AG