Long gravity waves in a canal with a corrugated bottom in the asymptotic description
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Institute of Geophysics, Polish Academy of Sciences, Warsaw, Poland
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
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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