Article information
2004 , Volume 9, ¹ 1, p.95-104
Ryzhkov I.I.
Optimal system of sub-algebras for thermal diffusion
A model for convective motion of binary mixture with thermal diffusion effect is considered. The Oberbeck - Boussinesq approximation describing convection in natural earth's conditions is used. The Lie group of transformations allowed by the equations of motion and the corresponding Lie algebra of generators are found. The optimal system of sub-algebras for the finite Lie algebra and the optimal system of one-dimensional sub-algebras for the Lie algebra are constructed.
[full text] Classificator Msc2000:- *17B81 Applications to physics
- 76R99 None of the above, but in this section
Keywords: thermal diffusion, inner automorphism of a Lie algebra, normalised system
Author(s): Ryzhkov Ilya Igorevich PhD. Position: Senior Research Scientist Office: Institute of Computational Modelling SB RAS Address: 660036, Russia, Krasnoyarsk, Akademgorodok
Phone Office: (391) 290 75 28 E-mail: rii@icm.krasn.ru
Bibliography link: Ryzhkov I.I. Optimal system of sub-algebras for thermal diffusion // Computational technologies. 2004. V. 9. ¹ 1. P. 95-104
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