Determination of a plasma equilibrium configuration
Abstract
Equations governing a plasma confined in a Tokamak machine are investigated. Equilibrium MHD equations are considered in a geometry of revolution. A problem involving a free boundary of nonclassical type is set up. The existence of solutions is demonstrated, with eigenvalues of some functionals appearing as the solutions. Methods of variational calculus and functional analysis are applied. Analogy with cavitation problems involving classical fluids is indicated.
- Publication:
-
Applications of Methods of Functional Analysis to Problems in Mechanics
- Pub Date:
- 1976
- Bibcode:
- 1976amfa.proc..511T
- Keywords:
-
- Controlled Fusion;
- Equilibrium Equations;
- Magnetohydrodynamic Stability;
- Plasma Control;
- Tokamak Devices;
- Cavitation Flow;
- Functionals;
- Plasma Physics