Semi-analytical study of the Voinovs problem

E. A. KARABUT; A. G. PETROV; E. N. ZHURAVLEVA

doi:10.1017/S0956792518000098

Semi-analytical study of the Voinovs problem

E. A. KARABUT, A. G. PETROV, E. N. ZHURAVLEVA

Кафедра гидродинамики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

3 Цитирования (Scopus)

Аннотация

A problem from the class of unsteady plane flows of an ideal fluid with a free boundary is considered. A conformal mapping of the exterior of a unit circle onto the region occupied by the fluid is sought. The solution is constructed in the form of power series in time or Laurent series which are analytically continued with the use of Padé approximants and change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found. Singularities of the solution are studied.

Язык оригинала	английский
Страницы (с-по)	298-337
Число страниц	40
Журнал	European Journal of Applied Mathematics
Том	30
Номер выпуска	2
DOI	https://doi.org/10.1017/S0956792518000098
Состояние	Опубликовано - 1 апр 2019

Доступ к документу

10.1017/S0956792518000098

Link to publication in Scopus

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Цитировать

KARABUT, E. A., PETROV, A. G., & ZHURAVLEVA, E. N. (2019). Semi-analytical study of the Voinovs problem. European Journal of Applied Mathematics, 30(2), 298-337. https://doi.org/10.1017/S0956792518000098

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