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This article is cited in 1 scientific paper (total in 1 paper)
A hydrostatic model for an ideal fluid: group properties of equations and their solutions
Alexander A. Rodionovab a Institute of Computational Modelling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, 660036, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Abstract:
Group properties of hydrostatic model equations of a layer motion in an ideal fluid on a function defining the free surface and the thickness of the fluid layer under the free boundary are studied. Examples of several exact solutions in Cartesian and cylindrical coordinates are given, they determine the free surface and the pressure on it.
Keywords:
ideal fluid, hydrostatic model, group analysis, exact solutions.
Received: 07.01.2015 Received in revised form: 24.02.2015 Accepted: 27.05.2015
Citation:
Alexander A. Rodionov, “A hydrostatic model for an ideal fluid: group properties of equations and their solutions”, J. Sib. Fed. Univ. Math. Phys., 8:3 (2015), 320–326
Linking options:
https://www.mathnet.ru/eng/jsfu434 https://www.mathnet.ru/eng/jsfu/v8/i3/p320
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Abstract page: | 147 | Full-text PDF : | 57 | References: | 28 |
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