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Title: Magnetohydrodynamic equilibria with incompressible flows: Symmetry approach

We identify and discuss a family of azimuthally symmetric, incompressible, magnetohydrodynamic plasma equilibria with poloidal and toroidal flows in terms of solutions of the Generalized Grad Shafranov (GGS) equation. These solutions are derived by exploiting the incompressibility assumption, in order to rewrite the GGS equation in terms of a different dependent variable, and the continuous Lie symmetry properties of the resulting equation and, in particular, a special type of “weak” symmetries.
Authors:
 [1] ;  [2]
  1. Dipartimento di Fisica “E.Fermi” dell'Università di Pisa and INFN, Sez. di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa (Italy)
  2. Dipartimento di Fisica “E.Fermi” dell'Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa (Italy)
Publication Date:
OSTI Identifier:
22408115
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; EQUATIONS; EQUILIBRIUM; INCOMPRESSIBLE FLOW; MAGNETOHYDRODYNAMICS; MATHEMATICAL SOLUTIONS; PLASMA; SYMMETRY