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Tr. Mat. Inst. Steklova, 2016, Volume 294, Pages 300–307 (Mi tm3737)  

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

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.

DOI: https://doi.org/10.1134/S0371968516030195

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 294, 283–290

Bibliographic databases:

Document Type: Article
UDC: 532.511+532.517.2
Received: March 15, 2016

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, Tr. Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 300–307; Proc. Steklov Inst. Math., 294 (2016), 283–290

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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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