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Information × Registration Number 0225U001183, (0124U000988) , R & D reports Title Generation and properties of cross-waves in pools of finite dimensions. popup.stage_title Розробка математичної моделі збудження хрестоподібних поверхневих хвиль в прямокутному басейні скінченних розмірів хвилепродуктором. Head Krasnopolskaya Tatyana S., Доктор фізико-математичних наук Registration Date 27-01-2025 Organization The Institute of Hydromechanics of the National Academy of Sciences of Ukraine popup.description1 Establishing the properties of regular and chaotic regimes of movement of cross-waves in pools of finite dimensions, and development of methods for researching chaotic processes. popup.description2  The report presents the results of modeling and analysis of cross-shaped waves in a rectangular pool of finite dimensions. Cross-shaped waves are waves perpendicular to the direction of motion of the wave generator. Although they are well known at least from the famous work of M. Faraday in 1831, their analysis has great mathematical difficulties caused by the fact that linearized equations do not describe the mechanism of their occurrence and the transfer of energy from the motion of the wave generator in this type of wave. In this report, the existence of cross-shaped waves without taking into account other surface waves will be shown for the first time in the case when the geometry of the pool is such that the fluctuations of the mean level are negligibly small. Product Description popup.authors Ilchenko Volodymyr M. Iskhakova Liudmyla V. Horskyi Yurii V. Konovaliuk Tetiana P. Kot Oleksandr O. Pechuk Yevhen D. Filimonov Vitalii Yu. Yarosh Dmytro V. popup.nrat_date 2025-01-27 Close