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A procedure for the construction of non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equationsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
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: Rendiconti del Circolo Matematico di Palermo
- Том: 65
- Номер: 1, April 2016
- Год издания: 2016
- Издательство: Springer
- Местоположение издательства: New York
- Первая страница: 73
- Последняя страница: 85
- DOI: 10.1007/s12215-015-0219-5
- Аннотация: In fluid mechanics, a lot of authors have been executing their researches to obtain the analytical solutions of Navier-Stokes equations, even for 3D case of compressible gas flow or 3D case of non-stationary flow of incompressible fluid. But there is an essential deficiency of non-stationary solutions indeed. We explore the ansatz of derivation of non-stationary solution for the Navier-Stokes equations in the case of incompressible flow, which was suggested earlier. In general case, such a solution should be obtained from the mixed system of 2 Riccati ordinary differential equations (in regard to the time-parameter t). But we find an elegant way to simplify it to the proper analytical presentation of exact solution (such a solution is exponentially decreasing to zero for t going to infinity ∞). Also it has to be specified that the solutions that are constructed can be considered as a class of perturbation absorbed exponentially as t going to infinity ∞ by the null solution.
- Добавил в систему: Ершков Сергей Владимирович