Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (5)
- Authors
- Kaptsov, Oleg V.
- Contact information
- Kaptsov, Oleg V.: Institute of computational modelling SB RAS Krasnoyarsk, Russian Federation; OCRID: 0000-0002-9562-9092
- Keywords
- Euler equations; group of point transformations; invariant solutions; vortices; jets
- Abstract
We consider a system of two-dimensional Euler equations describing the motions of an inviscid incompressible fluid. It reduces to one non-linear equation with partial derivatives of the third order. A group of point transformations allowed by this equation is found. Some invariant solutions and solutions not related to invariance are constructed. The solutions found describe vortices, jet streams, and vortex-like formations
- Pages
- 672–678
- DOI
- 10.17516/1997-1397-2022-15-5-672-678
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/148518
Journal of Siberian Federal University. Mathematics & Physics / Some Solutions of the Euler System of an Inviscid Incompressible Fluid
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