Accession Number : ADA258300


Title :   A Low Velocity Approximation for the Relativistic Vlasov-Maxwell System.


Descriptive Note : Doctoral thesis,


Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH


Personal Author(s) : McGillen, Donald J


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a258300.pdf


Report Date : Jun 1992


Pagination or Media Count : 108


Abstract : The Relativistic Vlasov-Maxwell (RVM) system is a nonlinear system of first order partial differential equations that models the time evolution of a collisionless plasma, e.g. a high temperature, low density ionized gas. Numerical computation of solutions of this system is prohibitively expensive in part because of the six-dimensional phase space for the Vlasov density function. For computational feasibility, we consider a version (RVM) in which the Vlasov density f depends on one spatial variable, x, and two momentum variables, v sub 1 and v sub 2. This is the simplest version of the problem which retains the hyperbolic structure of Maxwell's Equations and for which there is a nontrivial magnetic field.


Descriptors :   *MATHEMATICAL MODELS , *PLASMAS(PHYSICS) , *NONLINEAR SYSTEMS , *IONIZED GASES , *PARTIAL DIFFERENTIAL EQUATIONS , COMPUTATIONS , HIGH TEMPERATURE , LOW DENSITY , APPLIED MATHEMATICS


Subject Categories : Numerical Mathematics
      Plasma Physics and Magnetohydrodynamics


Distribution Statement : APPROVED FOR PUBLIC RELEASE