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Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2016-3pp.215-224

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
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A.G. Petrova, V.V. Pukhnachev and O.A. Frolovskaya, "Analytical and numerical investigation of unsteady flow near a critical point," J. Appl. Math. Mech. 80 (3), 215-224 (2016)
Year 2016 Volume 80 Issue 3 Pages 215-224
DOI 10.1016/j.jappmathmech.2016.07.003
Title Analytical and numerical investigation of unsteady flow near a critical point
Author(s) A.G. Petrova (Altai State University, Barnaul, Russia, annapetrova07@mail.ru)
V.V. Pukhnachev (M.A. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia; Novosibirsk State University, Novosibirsk, Russia, pukhnachev@gmail.com)
O.A. Frolovskaya (M.A. Lavrent'ev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia; Novosibirsk State University, Novosibirsk, Russia, oksana@hydro.nsc.ru)
Abstract The problem of unsteady flow of a viscous incompressible fluid near a critical point on a plane boundary is investigated. A theorem on the existence and uniqueness of its solution in Hölder classes of functions on an arbitrary time interval with natural restrictions imposed on the initial function is proved. Qualitative properties of the solution are investigated. Results of a numerical analysis demonstrating the possibility of disappearance after a finite time of a counterflow zone existing at the initial time in the case of a negative pressure gradient at the rigid plane are presented. In the case when the pressure gradient is a periodic function, a periodic mode of motion as well as breakdown of the solution after a finite time is possible.
Received 16 August 2015
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892816300909
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