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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 4, Pages 107–115
(Mi vuu300)
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This article is cited in 1 scientific paper (total in 1 paper)
MECHANICS
An asymptotic study of three-layered creeping flow and some geophysical applications
V. V. Pak V. I. Il'ichev Pacific Oceanological Institute of the Far Eastern Branch of RAS, Vladivostok, Russia
Abstract:
The nonlinear model based on the long-wave approximation of the Navier–Stokes equations is developed to study the free-surface three-layered creeping flow. An asymptotic study of the governing equations reveals two different modes of evolution at a short and long time. The relation between layers' boundaries is obtained that is independent of a pre-history of the flow. The obtained results are applied to study a behavior of the deep interface beneath the large-scale lunar basin under the variation of geometrical and physical model's parameters.
Keywords:
multi-layered flow, long-wave approximation, lubrication theory, nonlinear diffusion, ring basins.
Received: 24.06.2011
Citation:
V. V. Pak, “An asymptotic study of three-layered creeping flow and some geophysical applications”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4, 107–115
Linking options:
https://www.mathnet.ru/eng/vuu300 https://www.mathnet.ru/eng/vuu/y2011/i4/p107
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