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Construction of a Mathematical Model of a Wave System in the Ocean Using Observations from Space

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Physical and Mathematical Modeling of Earth and Environment Processes

Abstract

Earth's space satellites make it possible to observe the surface of the World Ocean. The incoming information is mainly undergoing statistical processing. However, it is interesting to conduct visual observations in order to identify natural phenomena that pose a potential danger to people. To record such phenomena, the space experiment “Uragan” (Hurricane) is conducted, consisting in photographing the processes in the atmosphere and on the surface of the World Ocean by astronauts from the International Space Station (ISS). It is also necessary to predict the development of such phenomena. To do this, it is necessary to create such mathematical models, the results of calculations for which correspond to observations. This paper analyzes one of the photos taken from the ISS, which depicts a system of ring waves near Darwin Island in the Pacific Ocean. Based on the photo, physical assumptions were made and a mathematical model was proposed. The exact solution of such a model is obtained. As a result of the calculations, such parameters of the model were selected that made it possible to approximate the result of calculations performed in accordance with the model with the image on the photograph. This makes it possible to forecast the development of such a ring wave system and assess the potential danger to people.

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Acknowledgements

The study was supported by the Government program (contract AAAA-A20-120011690138-6).

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Correspondence to S. A. Kumakshev .

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Kumakshev, S.A. (2022). Construction of a Mathematical Model of a Wave System in the Ocean Using Observations from Space. In: Karev, V.I. (eds) Physical and Mathematical Modeling of Earth and Environment Processes. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-99504-1_9

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