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
(print version)

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IssuesArchive of Issues2008-4pp.427-436

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L.A. Tkacheva, "Impact of a box with an elastic bottom on a thin liquid layer," J. Appl. Math. Mech. 72 (4), 427-436 (2008)
Year 2008 Volume 72 Issue 4 Pages 427-436
Title Impact of a box with an elastic bottom on a thin liquid layer
Author(s) L.A. Tkacheva (Novosibirsk, Russia, tkacheva@hydro.nsc.ru)
Abstract The problem of the impact of a box with an elastic bottom on a thin liquid layer is solved in a planar formulation in the shallow water approximation. Using the method of normal modes, the problem is reduced to a non-linear system of ordinary differential equations, which is solved by the Runge-Kutta method. It is shown that the elasticity of the bottom not only affects all the characteristics quantitatively but also qualitatively.
Received 27 November 2006
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