Magnetic Relaxation of a Voigt–MHD System

Peter Constantin, Federico Pasqualotto

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish (US)
Pages (from-to)1931-1952
Number of pages22
JournalCommunications In Mathematical Physics
Issue number2
StatePublished - Sep 2023

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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