Journal of Siberian Federal University. Mathematics & Physics: Unsteady 2D Motions a Viscous Fluid Described by Partially Invariant Solutions to the Navier–Stokes Equations

Journal of Siberian Federal University. Mathematics & Physics / Unsteady 2D Motions a Viscous Fluid Described by Partially Invariant Solutions to the Navier–Stokes Equations

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (2)
Authors: Andreev, Victor K.
Contact information: Andreev, Victor K.:Institute of Computational Modelling RAS SB Akademgorodok, 50/44, Krasnoyarsk, 660036 Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords: partially invariant solution; viscous fluid; free boundary problem; interface
Abstract: 3D continuous subalgebra is used to searching partially invariant solution of viscous incompressible fluid equations. It can be interpreted as a 2D motion of one or two immiscible fluids in plane channel. The arising initial boundary value problem for factor-system is an inverse one. Unsteady problem for creeping motions is solved by separating of variables method for one fluid or Laplace transformation method for two fluids
Pages: 140–147
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/16800