CONSIDERATIONS ON THE STABILIZED EQUILIBRIUM OF THE HOT PLASMA

We introduce a variational problem on a Sobolev space associated with an eigenvalue problem for a magnetic flux, characterizing the quasi-static equilibrium of plasma. We obtain the existence and regularity results of a weak solution. Topological arguments – topological degree, ensure the control of a unique solution depending on a parameter – magnetic permeability of a total ionized gas and on the eigenvalues of an associated Dirichlet problem. The control on a technological parameter to the process initiation ensures equilibrium stabilization and controlled functionality of the machine.