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

Journal Article · Thu Jan 15 00:00:00 EST 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4905646· OSTI ID:22403073

Broadbridge, P., E-mail: [e-mail] ^[1]; Ivanova, N. M., E-mail: [e-mail] ^[2]

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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)

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.

• OSTI ID: 22403073
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONSERVATION LAWS
EXACT SOLUTIONS
LASERS
NONLINEAR PROBLEMS
PLASMA
REDUCTION
SYMMETRY
TIME DEPENDENCE