Email this article Solution of the Ovsyannikov Problem of Two-Dimensional Isothermal Motion of a Polytropic Gas
- Authors: Shan’ko Y.V.1
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Affiliations:
- Institute of Computational Modeling, Siberian Branch
- Issue: Vol 58, No 6 (2017)
- Pages: 957-967
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160441
- DOI: https://doi.org/10.1134/S0021894417060013
- ID: 160441
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Abstract
We study an overdetermined system of partial differential equations which describes the two-dimensional isothermal motion of a polytropic gas. The system is reduced to a passive form and is completely integrated. The resulting solutions are treated as ideal incompressible fluid flows bounded by a free surface or a moving solid wall.
About the authors
Yu. V. Shan’ko
Institute of Computational Modeling, Siberian Branch
Author for correspondence.
Email: shy70@mail.ru
Russian Federation, Krasnoyarsk, 660036
