 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
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