Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (4)
- Authors
- Rodionov, Alexander A.; Saveliev, Nikita A.
- Contact information
- Rodionov, Alexander A.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Saveliev, Nikita A.: Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- group analysis; fluid equations; infinitesimal operator; invariant; invariant solution; Hele–Shaw cell
- Abstract
In this paper, we have constructed the main group of transformations allowed by the system of differential equations for the flow of a viscous inhomogeneous fluid in a Hele–Shaw cell. A classifying equation for the viscosity function was obtained, and a basis of operators was constructed that preserved the form of the original equations. The basis of the space of solutions of the defining equations is described. Invariants of operators are found and invariant solutions of the equations are obtained
- Pages
- 528–536
- EDN
- HMJRSG
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/153000
Journal of Siberian Federal University. Mathematics & Physics / Research of the Equations of a Viscous Inhomogeneous Fluid in a Hele-Shaw Cell by Group Analysis Method
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