New Steady and Self-Similar Solutions of the Euler Equations |
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Authors: | E Yu Meshcheryakova |
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Institution: | (1) Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 |
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Abstract: | Exact steady and self-similar solutions of the Euler equations are considered, which possess the property of partial invariance with respect to a certain six-parameter Lie group. New examples of vortex motion of a swirled liquid in curved channels are presented. A classification is given for self-similar solutions of the reduced system with two independent variables, which admits a three-parameter group of extensions, whereas the initial system of the Euler equations possesses a two-parameter group. |
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Keywords: | Euler equations partially invariant solutions streamlines sources drains |
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