OPTIMIZATION PROBLEMS IN THERMONUCLEAR PLASMA CONFINEMENT,

Abstract

The problem of thermonuclear plasma confinement by means of external time-varying electromagnetic fields is explored from the viewpoints of optimal control theory. Using the Boltzmann-Vlasov mathematical model for a collisionless plasma, various mathematical formulations of the confinement problem are discussed. Specific results in the form of necessary conditions for optimality are obtained for the cases where confinement is achieved by means of (1) a spatially uniform time-varying magnetic field and (2) a spatially uniform time-varying electric field in the presence of a strong static magnetic field. Physical interpretations of these results are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0696657

Entities

People

  • Paul Keng Chieh Wang

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Control Theory
  • Electric Fields
  • Electromagnetic Fields
  • Magnetic Fields
  • Mathematical Models
  • Models
  • Optimization

Fields of Study

  • Physics

Readers

  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics