Magnetic Relaxation of a Voigt-MHD System

Published 23 Aug 2022 in math.AP, physics.flu-dyn, and physics.plasm-ph | (2208.11109v1)

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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