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On Properties of Solutions of the Cauchy Problem for Two-Dimensional Transport Equations on a Rotating Planeстатья
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: 28 июля 2021 г.
- Авторы: Rozanova O.S., Uspenskaya O.V.
- Журнал: Moscow University Mathematics Bulletin
- Том: 76
- Номер: 1
- Год издания: 2021
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 1
- Последняя страница: 8
- DOI: 10.3103/S0027132221010058
- Аннотация: The limiting case of the system of equations of two-dimensional gas dynamics in thepresence of the Coriolis force, which can be obtained under the assumption of small pressure, isconsidered. With this approach, the equation for the velocity vector (transport equation) is decoupledfrom the system and can be solved separately. An explicit asymptotic representation of a smoothsolution to transport equations is obtained with the use of the method of stochastic perturbation along characteristics and the process of formation of solution singularity is analyzed on a specificexample. It is concluded that the presence of the Coriolis force prevents formation of singularities.
- Добавил в систему: Розанова Ольга Сергеевна