Journal of Applied Mathematics and Mechanics (about journal) 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
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IssuesArchive of Issues2008-6pp.694-703

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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P.Ye. Karabut and V.V. Ostapenko, "The problem of the failure of a dam in two-layer shallow water (linear approximation)," J. Appl. Math. Mech. 72 (6), 694-703 (2008)
Year 2008 Volume 72 Issue 6 Pages 694-703
Title The problem of the failure of a dam in two-layer shallow water (linear approximation)
Author(s) P.Ye. Karabut (Novosibirsk, Russia)
V.V. Ostapenko (Novosibirsk, Russia, ostapenko@hydro.nsc.ru)
Abstract The flows that occur in the solution, in the linear approximation, of the problem of the failure of a dam for the model of two-layer shallow water with a free boundary are analysed qualitatively. It is shown that, apart from symmetry, four basic processes and four transients exist. They are distinguished by the type of jumps in the levels on the lines of discontinuity and by the direction of the velocities in the liquid layers. Examples of the profiles of all these flows are presented.
Received 26 July 2007
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