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