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.

Report Date:

1982-03-01

Pagination or Media Count:

65.0

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