Three-dimensional magnetohydrodynamic equilibria with continuous magnetic fields
Keyword(s):
A brief critique is presented of some different classes of magnetohydrodynamic equilibrium solutions based on their continuity properties and whether the magnetic field is integrable or not. A generalized energy functional is introduced that is comprised of alternating ideal regions, with nested flux surfaces with an irrational rotational transform, and Taylor-relaxed regions, possibly with magnetic islands and chaos. The equilibrium states have globally continuous magnetic fields, and may be constructed for arbitrary three-dimensional plasma boundaries and appropriately prescribed pressure and rotational-transform profiles.
2012 ◽
Vol 457-458
◽
pp. 884-890
Keyword(s):
1966 ◽
Vol 293
(1434)
◽
pp. 342-358
◽
2000 ◽
Vol 418
◽
pp. 265-295
◽
2016 ◽
Vol 28
(01)
◽
pp. 1650002
◽
Keyword(s):
2013 ◽
Vol 8
(S300)
◽
pp. 139-146
◽
1997 ◽
Vol 57
(1)
◽
pp. 83-87
◽
2021 ◽
Vol 22
(6)
◽
pp. 176-187