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Long gravity waves in a canal with a corrugated bottom in the asymptotic description
 
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1
Institute of Geophysics, Polish Academy of Sciences, Warsaw, Poland
 
2
Institute of Fundamental Technological Research, PAS, Warsaw, Poland
 
 
Submission date: 2020-09-25
 
 
Final revision date: 2021-05-22
 
 
Acceptance date: 2021-06-11
 
 
Online publication date: 2021-06-27
 
 
Publication date: 2021-07-25
 
 
Corresponding author
Włodzimierz Bielski   

Theoretical Geophysics, Institute of Geophysics, Księcia Janusza 64, 01-452, Warszawa, Poland
 
 
Journal of Theoretical and Applied Mechanics 2021;59(3):443-454
 
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ABSTRACT
We consider the classic Lagrange long gravitational wave of a homogeneous incompressible fluid in a shallow canal with a corrugated bottom. We use the asymptotic expansion method to find the effective depth of a one-dimensional canal and, hence, the effective wave velocity. A flow in a two-dimensional tank with a corrugated bottom is also studied by this method.
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ISSN:1429-2955
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