Geodesic
Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential
Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 3, pp. 425-436
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We consider the well-known hydrodynamics problem for the planar potential motion of an ideal incompressible fluid with a free boundary without capillarity and propose a method for finding exact solutions based on reducing the boundary-value problems to systems of ordinary differential equations. We obtain two examples of flows: a stationary motion of a heavy fluid over a smooth bottom and a nonstationary motion of a fluid that originally filled a wedge.
Keywords: ideal incompressible fluid, doubly periodic function.
Mots-clés : exact solution, conformal map 
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E. A. Karabut; E. N. Zhuravleva. Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential. Teoretičeskaâ i matematičeskaâ fizika, Tome 202 (2020) no. 3, pp. 425-436. http://geodesic.mathdoc.fr/item/TMF_2020_202_3_a8/

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