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math-ph2025
Topological Invariants in Higher-Dimensional Magnetohydrodynamics
Naoki Sato, Ken Abe, Michio Yamada
It is well known that the three-dimensional ideal magnetohydrodynamics (MHD) equations possess three magnetic invariants: (M) magnetic helicity, (C) cross helicity, and (P) the mea…
math-ph2018
Beltrami operators
Naoki Sato
Beltrami fields occur as stationary solutions of the Euler equations of fluid flow and as force free magnetic fields in magnetohydrodynamics. In this paper we discuss the role of B…