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Asymptotic theory of linear water waves in a domain with nonuniform bottom with rapidly oscillating sections

Russian Journal of Mathematical Physics. 2016. Vol. 23. No. 4. P. 455–474.
Dobrokhotov S. Y., Grushin V. V., Sergeev S. A., Tirozzi B.

A linear problem for propagation of gravity waves in the basin having the bottom of a form of a smooth background with added rapid oscillations is considered. The formulas derived below are asymptotic ones; they are quite formal, and we do not discuss the problem concerning their uniformness with respect to these parameters.

Priority areas: mathematics
Language: English
Full text
DOI
Keywords: асимптотическое решениесистемаa linearized sistemfor gravity wavesasymptotical solutionMaslov s canonical operatoraveraging of rapidly oscillating functionsлинеаризированнаядля гравитационныхволнканонический оператор Масловаусреднение быстро осциллирующих функций
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