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This article is cited in 1 scientific paper (total in 1 paper)
Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential
equations
E. A. Karabutab, E. N. Zhuravlevaab a Lavrentiev Institute for Hydrodynamics, Siberian Branch of
RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
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, exact solution, conformal map, doubly periodic function.
Received: 17.08.2019 Revised: 03.10.2019
Citation:
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
equations”, TMF, 202:3 (2020), 425–436; Theoret. and Math. Phys., 202:3 (2020), 371–380
Linking options:
https://www.mathnet.ru/eng/tmf9791https://doi.org/10.4213/tmf9791 https://www.mathnet.ru/eng/tmf/v202/i3/p425
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Abstract page: | 228 | Full-text PDF : | 49 | References: | 27 | First page: | 13 |
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