Energy principle for twodimensional resistive instabilities
Abstract
An energy principle for 2d resistive instabilities has been found. It leads to a necessary and sufficient condition for stability allowing the use of test functions. One simple consequence is that the current density in a plasma with arbitrary cross section should not increase to the outside. Otherwise the plasma would be unstable against resistive instabilities.
 Publication:

Plasma Physics
 Pub Date:
 December 1975
 DOI:
 10.1088/00321028/17/12/012
 Bibcode:
 1975PlPh...17.1131T
 Keywords:

 Electrical Resistivity;
 Energy Methods;
 Magnetohydrodynamic Stability;
 Plasma Control;
 Boundary Value Problems;
 Current Density;
 Equilibrium Equations;
 Flow Velocity;
 Perturbation Theory;
 Plasma Physics