Magnetic Relaxation of a Voigt-MHD System

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.

arXiv comment16 pages

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Cited by in corpus (4)

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• Large amplitude traveling waves for the non-resistive MHD system
• Steady Compressible 3D Euler Flows in Toroidal Volumes without Continuous Euclidean Isometries