### Construction of periodic solutions equations of motion of a viscous fluid with a predetermined pressure gradient

#### M. S. Deryabina1, S. I. Martynov2

Annotation The problem of constructing a periodic solution for the equations of viscous flow in unbounded domain for a given pressure gradient in the class of piecewise smooth functions for the flow velocity is considered. An approximate solution of the problem is obtained. viscous fluid, periodic solution, piecewise smooth function

1Ugra State University, Khanty-Mansiysk; deryabinams@mail.ru

2Professor of Ugra State University, Khanty-Mansiysk; martynovsi@mail.ru

Citation: M. S. Deryabina, S. I. Martynov, "[Construction of periodic solutions equations of motion of a viscous fluid with a predetermined pressure gradient]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:3 (2016) 91–97 (In Russian)