Geodesic
Exact solutions of the Euler equations for some two-dimensional incompressible flows
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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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     author = {V. V. Markov and G. B. Sizykh},
     title = {Exact solutions of the {Euler} equations for some two-dimensional incompressible flows},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/TM_2016_294_a18/}
}
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V. V. Markov; G. B. Sizykh. Exact solutions of the Euler equations for some two-dimensional incompressible flows. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics. II, Tome 294 (2016), pp. 300-307. http://geodesic.mathdoc.fr/item/TM_2016_294_a18/