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Article information
2001 , Volume 6, ¹ 3, p.51-63
Rodionov A.A.
The group analysis and exact solutions of microconvection equations
Group analysis of a new model for convection under low gravity which are presented in the works of V.,V. Pukhnachov are considered. The complete group of admissible transformations, the optimal systems of first- and second-order sub-algebras of Lie algebra of operators, some examples of exact solutions of the model are presented in this paper.
[full text] Classificator Msc2000:- *35A22 Transform methods (e.g. integral transforms)
- 35A30 Geometric theory, characteristics, transformations
- 35C05 Solutions in closed form
- 35Q35 Other equations arising in fluid mechanics
- 37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures
Keywords: equations of microconvection, group classification, equivalence transformation, invariance solutions, optimal systems of subalgebras
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
Bibliography link:
Rodionov A.A. The group analysis and exact solutions of microconvection equations // Computational technologies. 2001. V. 6. ¹ 3. P. 51-63
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