To the problems of stability of nonuniform stationary distributions of temperature in a plasma with a nonlinear source

The problem of stability of stationary solutions f lasma thermal conductivity equations with sufficiently arbitrary boundary conditions is studied. Conditions determining the stability boundary location are obtained. The stabilitycrriterion for ''closed-'' (N0=const., where N0 is a number of particles) systems is deduced and the location of stability boundary is found for the THETA-pinch with magnetic isolation. ependence of the system stability boundary location on the value of the wall thermal conductivity is obtained. It is shown that introduction of the feedback equivalent to the medium with negative thermal conductivity is necessary for the stability improvement