Exact solutions of the Euler equations for some two-dimensional incompressible flows
Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 300-307.

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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.
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V. V. Markov; G. B. Sizykh. Exact solutions of the Euler equations for some two-dimensional incompressible flows. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 300-307. http://geodesic.mathdoc.fr/item/TRSPY_2016_294_a18/

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