Magnetohydrodynamic equilibria with incompressible flows: Symmetry approach
- Dipartimento di Fisica “E.Fermi” dell'Università di Pisa and INFN, Sez. di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa (Italy)
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.
- OSTI ID:
- 22408115
- Journal Information:
- Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 22; ISSN PHPAEN; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Equilibria with incompressible flows from symmetry analysis
Symmetries, weak symmetries, and related solutions of the Grad-Shafranov equation
Exact solutions for helical magnetohydrodynamic equilibria. II. Nonstatic and nonbarotropic solutions
Journal Article
·
Sat Aug 15 00:00:00 EDT 2015
· Physics of Plasmas
·
OSTI ID:22490106
Symmetries, weak symmetries, and related solutions of the Grad-Shafranov equation
Journal Article
·
Fri Oct 15 00:00:00 EDT 2010
· Physics of Plasmas
·
OSTI ID:21421262
Exact solutions for helical magnetohydrodynamic equilibria. II. Nonstatic and nonbarotropic solutions
Journal Article
·
Fri Jul 01 00:00:00 EDT 1994
· Physics of Plasmas; (United States)
·
OSTI ID:6684676