Journal of Siberian Federal University. Mathematics & Physics: A Hydrostatic Model for an Ideal Fluid: Group Properties of Equations and their Solutions

Journal of Siberian Federal University. Mathematics & Physics / A Hydrostatic Model for an Ideal Fluid: Group Properties of Equations and their Solutions

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (3)
Authors: Rodionov, Alexander A.
Contact information: Rodionov, Alexander A.:Institute of Computational Modelling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Russia; Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords: ideal fluid; hydrostatic model; group analysis; exact solutions
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
Pages: 320–326
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/19705