Accession Number : ADA114599

Title :   Stability Theory of a Confined Toroidal Plasma. Part I. Existence and Uniqueness.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Laurence,Peter ; Shen,M C

PDF Url : ADA114599

Report Date : Mar 1982

Pagination or Media Count : 65

Abstract : The linear MHD stability of a confined plasma is generally studied by means of energy principles. Up to date, these energy principles have never been justified rigorously, and the existence of a solution to the linearized equations is also tacitly assumed. In this report, based upon a variational approach, we shall first establish the existence and uniqueness of a generalized solution to the linearized Lundquist equations for a toroidal plasma confined in a conducting shell. In a subsequent report, the so-called modified energy principle, which includes linear energy principle as a special case, will be justified rigorously and a solid foundation will then be application of these energy principles to the linear MHD stability of a confined plasma.

Descriptors :   *Plasmas(Physics), *Toroids, *Linear algebraic equations, *Stability, Theory, Magnetohydrodynamics, Variational principles, Rates, Growth(General), Solids, Foundations(Structures), Linearity

Subject Categories : Numerical Mathematics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE