Magnetic Relaxation of a Voigt–MHD System

Peter Constantin; Federico Pasqualotto

doi:10.1007/s00220-023-04770-1

Magnetic Relaxation of a Voigt–MHD System

Peter Constantin
, Federico Pasqualotto

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1931-1952
Number of pages	22
Journal	Communications In Mathematical Physics
Volume	402
Issue number	2
DOIs	https://doi.org/10.1007/s00220-023-04770-1
State	Published - Sep 2023

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-023-04770-1

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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.",

author = "Peter Constantin and Federico Pasqualotto",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

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AB - 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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Magnetic Relaxation of a Voigt–MHD System

Abstract

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