Magnetic Relaxation of a Voigt-MHD System
Analysis of PDEs
2023-07-12 v1 Fluid Dynamics
Plasma Physics
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.
Keywords
Cite
@article{arxiv.2208.11109,
title = {Magnetic Relaxation of a Voigt-MHD System},
author = {Peter Constantin and Federico Pasqualotto},
journal= {arXiv preprint arXiv:2208.11109},
year = {2023}
}
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16 pages