Article information
2008 , Volume 13, ¹ 5, p.61-69
Rodionov A.A., Stepanova I.V.
Group classification of model equations of convection with the buoyancy force
A group classification of the convective motion of a binary mixture with the thermal diffusion effect is investigated for the case of a function which determines the buoyancy force. Special characteristics of this function are found. Admissible operators that increase the kernel of basic Lie algebras are constructed according to the special characteristics of the buoyancy force function.
[full text] Keywords: Group classification, algebra of Lie operators, equations of convection, thermodiffusion, forces of buoyancy
Author(s): Rodionov Aleksandr Alekseevich PhD. , Associate Professor Position: Senior Research Scientist Address: 660036, Russia, Krasnoyarsk, Akademgorodok 28-47
Phone Office: (3912) 49 47 61 E-mail: aarod@icm.krasn.ru Stepanova Irina Vladimirovna PhD. Position: Junior Research Scientist Office: Institute of Computational Modelling SB RAS Address: 63009, Russia, Krasnoyarsk, Akademgorodok 28-47
Phone Office: (391) 290 75 28 E-mail: stepiv@icm.krasn.ru
Bibliography link: Rodionov A.A., Stepanova I.V. Group classification of model equations of convection with the buoyancy force // Computational technologies. 2008. V. 13. ¹ 5. P. 61-69
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