Alexander A. Rodionov, Daria A. Krasnova, “Group analysis of equations of hydrostatic model of viscous fluid”, J. Sib. Fed. Univ. Math. Phys., 2019, Volume 12, Issue 3,Pages <nobr>342

Group analysis of equations of hydrostatic model of viscous fluid

Alexander A. Rodionov^a, Daria A. Krasnova^b

^a Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, 660036, Russia
^b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: The group properties of three-dimensional equations of hydrostatic model of viscous fluid are studied. Several exact solutions are presented. The free surface of fluid and pressure on this surface are determined.

Keywords: viscous fluid, hydrostatic model, group analysis, exact solution.

UDC: 517.9

Received: 24.01.2019
Received in revised form: 10.02.2019
Accepted: 20.02.2019

Language: English

DOI: 10.17516/1997-1397-2019-12-3-342-350