A freefront problem in plasma physics
Abstract
The equilibrium of plasma confined in the presence of electric conductors is considered in terms of the free boundary and the eigenvalue relative to the Maxwell equations. The unknowns are the plasma equilibrium configuration and the characteristic function values at the plasma interior and in the void surrounding the plasma. A method is proposed for determining the free boundary by starting from the 'approached' boundary. Conditions for uniqueness are obtained, and the calculation proceeds by 'linearization' of equilibrium equations around the given position of the given frontier followed by conversion of the treatment into a 'corrective' problem. This corrective problem is shown to be a linear eigenvalue and eigenvector problem relevant to the Fredholm alternative. An iterative method for obtaining numerical solutions of 'exact' problems is derived from the calculation algorithm for the plasmavoid free boundary.
 Publication:

Ph.D. Thesis
 Pub Date:
 January 1977
 Bibcode:
 1977PhDT........13G
 Keywords:

 Free Boundaries;
 Magnetohydrodynamic Stability;
 Plasma Control;
 Algorithms;
 Eigenvalues;
 Electric Conductors;
 Equilibrium Equations;
 Finite Element Method;
 Fredholm Equations;
 Iterative Solution;
 Linearization;
 Maxwell Equation;
 Tokamak Devices;
 Plasma Physics