TY - JOUR
T1 - Magnetic Relaxation of a Voigt–MHD System
AU - Constantin, Peter
AU - Pasqualotto, Federico
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2023/9
Y1 - 2023/9
N2 - 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.
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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U2 - 10.1007/s00220-023-04770-1
DO - 10.1007/s00220-023-04770-1
M3 - Article
AN - SCOPUS:85163010582
SN - 0010-3616
VL - 402
SP - 1931
EP - 1952
JO - Communications In Mathematical Physics
JF - Communications In Mathematical Physics
IS - 2
ER -