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Article information
2003 , Volume 8, ¹ 3, p.107-118
Rodionov A.A.
Group Analysis and Exact Solutions of the Equations of Plan Motion of Viscous Liquid in Terms of Velosity -- Vorticity
The optimal system of one-dimensional subalgebra of the Lie algebra of generators are obtained to the equations of plan motion of viscous incompressible liquid in terms of velosity - vorticity, and factor - systems are constructed. The group analysis are done to the equations with respect to viscous as a function of time. Some examples of exact solusions are presented in this paper.
[full text] Classificator Msc2000:- *76D05 Navier-Stokes equations
- 76M60 Symmetry analysis, Lie group and algebra methods
Keywords: one-dimensional subalgebras, Lie algebra of generators, time-dependent viscosity
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. Group Analysis and Exact Solutions of the Equations of Plan Motion of Viscous Liquid in Terms of Velosity -- Vorticity // Computational technologies. 2003. V. 8. ¹ 3. P. 107-118
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