A STUDY OF THE SOLUTIONS OF ONE-DIMENSIONAL VLASOV-POISSON EQUATIONS FOR HARMONIC TIME DEPENDENCE AND EXTERNAL POTENTIAL,

Abstract

The behavior of the solutions of a simplified form of the system of Vlasov-Poisson equations is studied. An external disturbance function is intended to simulate a confining magnetic field. A condition for the existence of continuously differentiable solutions is derived which has the form of an integral relation between the Poisson function and its derivative. The two cases of a given spatial distribution and a given velocity distribution are considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 30, 1967
Accession Number
AD0664585

Entities

People

  • Gettfried Tinhofer

Organizations

  • University of Innsbruck

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Integrals
  • Magnetic Fields
  • Mathematics
  • Partial Differential Equations
  • Poisson Equation
  • Spatial Distribution
  • Time Dependence

Fields of Study

  • Mathematics

Readers

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