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Quasi-periodic non-stationary solutions of 3D Euler equations for incompressible flowстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 30 апреля 2021 г.
- Автор: Ershkov Sergey V.
- Журнал: Journal of King Saud University - Science
- Том: 27
- Номер: 4
- Год издания: 2015
- Издательство: King Saud University
- Местоположение издательства: Saudi Arabia
- Первая страница: 369
- Последняя страница: 374
- DOI: 10.1016/j.jksus.2015.05.005
- Аннотация: A novel derivation of non-stationary solutions of 3D Euler equations for incompressible inviscid flow is considered here. Such a solution is the product of 2 separated parts: - one consisting of the spatial component and the other being related to the time dependent part. Spatial part of a solution could be determined if we substitute such a solution to the equations of motion (equation of momentum) with the requirement of scale-similarity in regard to the proper component of spatial velocity. So, the time-dependent part of equations of momentum should depend on the time-parameter only. The main result, which should be outlined, is that the governing (time-dependent) ODE-system consist of 2 Riccati-type equations in regard to each other, which has no solution in general case. But we obtain conditions when each component of time-dependent part is proved to be determined by the proper elliptical integral in regard to the time-parameter t, which is a generalization of the class of inverse periodic functions.
- Добавил в систему: Ершков Сергей Владимирович
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