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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 300–307
DOI: https://doi.org/10.1134/S0371968516030195 (Mi tm3737) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Exact solutions of the Euler equations for some two-dimensional incompressible flows

V. V. Markov, G. B. Sizykh

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968516030195
Abstract: Two-dimensional (plane and axisymmetric) steady flows of an ideal incompressible fluid are considered in a potential field of external forces. An elliptic partial differential equation is obtained such that each of its solutions is a stream function of a flow described by a certain solution of the Euler equations. Examples of such new exact solutions are given. These solutions can be used, in particular, for testing numerical algorithms and computer programs.
Received: March 15, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 283–290
DOI: https://doi.org/10.1134/S0081543816060195
Bibliographic databases:
Document Type: Article
UDC: 532.511+532.517.2
Language: Russian
Citation: V. V. Markov, G. B. Sizykh, “Exact solutions of the Euler equations for some two-dimensional incompressible flows”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 300–307; Proc. Steklov Inst. Math., 294 (2016), 283–290
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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