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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 4, Pages 871–882 (Mi smj2131)  
Linear stationary surface waves over a rough bottom

V. I. Nalimovab

a Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: We consider the linear formulation of the 3-dimensional problem of a stationary flow with a free surface over a rough bottom of an irrotational capillary heavy ideal incompressible fluid. For fast near-critical flows we derive an approximate equation for the free surface elevation. We express a fundamental solution to the problem in terms of contour integrals and establish its asymptotic behavior at large distances from the origin.
Keywords: surface waves, capillarity.
Received: 16.06.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 4, Pages 696–705
DOI: https://doi.org/10.1007/s11202-010-0070-z
Bibliographic databases:
Document Type: Article
UDC: 517.9+532.59
Language: Russian
Citation: V. I. Nalimov, “Linear stationary surface waves over a rough bottom”, Sibirsk. Mat. Zh., 51:4 (2010), 871–882; Siberian Math. J., 51:4 (2010), 696–705
Citation in format AMSBIB
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