Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential equations

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

We consider the well-known hydrodynamics problem for the planar potential motion of an ideal incompressible fluid with a free boundary without capillarity and propose a method for finding exact solutions based on reducing the boundary-value problems to systems of ordinary differential equations. We obtain two examples of flows: a stationary motion of a heavy fluid over a smooth bottom and a nonstationary motion of a fluid that originally filled a wedge.

Язык оригиналаанглийский
Страницы (с-по)371-380
Число страниц10
ЖурналTheoretical and Mathematical Physics(Russian Federation)
Том202
Номер выпуска3
DOI
СостояниеОпубликовано - мар 2020

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