## Files in this item

FilesDescriptionFormat

application/pdf

9328983.pdf (12MB)
(no description provided)PDF

## Description

 Title: Differential and Integral Invariance of the Relativistic Vlasov-Boltzmann Equation and the Associated Invariant Variational Problem Author(s): Burlet, Daniel John Doctoral Committee Chair(s): Axford, Roy A. Department / Program: Nuclear Engineering Discipline: Nuclear Engineering Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Engineering, Nuclear Physics, Fluid and Plasma Physics, Elementary Particles and High Energy Abstract: Relativistic Vlasov-Boltzmann kinetic equations are constructed from quantum field theory for scalar bosons and Dirac fermion fields. Lie's principle of differential invariance is extended to the case of non-linear integro-differential equations for both scalar and matrix distribution functions, corresponding to scalar and fermion kinetic equations respectively, and then is used to demonstrate the invariance of these equations under the action of the Poincare group. The invariant variational problem is then constructed for these equations, and is shown to yield the kinetic equations as Euler-Lagrange equations for the variational principle, as well as first integrals for the Euler-Lagrange, which are interpreted as conservation laws, for energy-linear momentum and angular momentum under the action of the Poincare group. Finally, macroscopic balance equations for particle and energy density, linear and angular momentum, and entropy production, appropriate for the description of non-ideal relativistic magnetohydrodynamics are obtained from moments of the relativistic kinetic equation. Issue Date: 1993 Type: Text Description: 551 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993. URI: http://hdl.handle.net/2142/72450 Other Identifier(s): (UMI)AAI9328983 Date Available in IDEALS: 2014-12-17 Date Deposited: 1993
﻿