Unsteady 2D motions a viscous fluid described by partially invariant solutions to the navier–stokes equations


Тип публикации: статья из журнала

Год издания: 2015

Ключевые слова: Free boundary problem, Interface, Partially invariant solution, Viscous fluid

Аннотация: 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 Показать полностьюby separating of variables method for one fluid or Laplace transformation method for two fluids. © Siberian Federal University. All rights reserved.

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Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 8, Is. 2

Номера страниц: 140-147


  • Andreev V.K. (Institute of Computational Modelling RAS SB, Akademgorodok, 50/44, Krasnoyarsk, Russian Federation; Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation)

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  • Scopus (цитирований 3)