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arXiv · 2208.11109

Magnetic Relaxation of a Voigt-MHD System

Peter Constantin·Federico Pasqualotto
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Abstract

We construct solutions of the magnetohydrostatic (MHS) equations in bounded domains and on the torus in three spatial dimensions, as infinite time limits of Voigt approximations of viscous, non-resistive incompressible magnetohydrodynamics equations. The Voigt approximations modify the time evolution without introducing artificial viscosity. We show that the obtained MHS solutions are regular, nontrivial, and are not Beltrami fields.

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Peter Constantin, Federico Pasqualotto. 2022-08-23. Magnetic Relaxation of a Voigt-MHD System. https://doi.org/10.1007/s00220-023-04770-1

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