Frequency Spectrum of Exact Solutions of the Two-Dimensional Hydrodynamic Equations


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Abstract

We show that the discrete frequency spectrum of a plane hydrodynamic flow of ideal incompressible liquid with localized trajectories of the liquid particles can contain only one, two, or an infinite number of harmonics.

About the authors

A. A. Abrashkin

National Research University “Higher School of Economics”

Author for correspondence.
Email: aabrashkin@hse.ru
Russian Federation, Nizhny Novgorod

E. I. Yakubovich

Institute of Applied Physics of the Russian Academy of Sciences

Email: aabrashkin@hse.ru
Russian Federation, Nizhny Novgorod

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