MHD equilibria with incompressible flows: symmetry approach
Plasma Physics
2015-06-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1502.04542,
title = {MHD equilibria with incompressible flows: symmetry approach},
author = {G. Cicogna and F. Pegoraro},
journal= {arXiv preprint arXiv:1502.04542},
year = {2015}
}
Comments
Accepted for publication in Phys. Plasmas