Unified treatment of symmetric MHD equilibria
Abstract
Under the assumption of a general symmetry (dependency on two space variables only), a generalized Grad-Shafranov equilibrium equation is derived and discussed. An elementary formulation of the boundary conditions is given and the existence of solutions is investigated. It emerges that from the equilibrium requirements almost no restrictions follow for the two arbitrary functions appearing in the equilibrium equation.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- October 1980
- DOI:
- Bibcode:
- 1980JPlPh..24..299E
- Keywords:
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- Controlled Fusion;
- Cylindrical Plasmas;
- Magnetohydrodynamic Stability;
- Plasma Equilibrium;
- Boundary Conditions;
- Boundary Value Problems;
- Differential Equations;
- Equilibrium Equations;
- Linear Equations;
- Operators (Mathematics);
- Plasma Physics