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Title: Solutions and reductions for radiative energy transport in laser-heated plasma

A full symmetry classification is given for models of energy transport in radiant plasma when the mass density is spatially variable and the diffusivity is nonlinear. A systematic search for conservation laws also leads to some potential symmetries and to an integrable nonlinear model. Classical point symmetries, potential symmetries, and nonclassical symmetries are used to effect variable reductions and exact solutions. The simplest time-dependent solution is shown to be stable and relevant to a closed system.
Authors:
 [1] ;  [2]
  1. School of Engineering and Mathematical Sciences, La Trobe University, Victoria 3086 (Australia)
  2. Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01601 Kyiv (Ukraine)
Publication Date:
OSTI Identifier:
22403073
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONSERVATION LAWS; EXACT SOLUTIONS; LASERS; NONLINEAR PROBLEMS; PLASMA; REDUCTION; SYMMETRY; TIME DEPENDENCE