Application of transport equations for constructing exact solutions for the problem of motion of a fluid with a free boundary

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

A problem of an unsteady plane flow of an ideal incompressible fluid with a free boundary is considered. It is shown that the solution can be found by using a complex transport equation. In this case, the problem is linearized by means of the hodograph transform (the velocity components are chosen as independent variables). Examples of exact solutions are obtained. Various scenarios of formation of singularities on the free boundary within a finite time are considered.

Язык оригиналаанглийский
Номер статьиA13
Число страниц19
ЖурналJournal of Fluid Mechanics
Том890
DOI
СостояниеОпубликовано - 10 мая 2020

Fingerprint Подробные сведения о темах исследования «Application of transport equations for constructing exact solutions for the problem of motion of a fluid with a free boundary». Вместе они формируют уникальный семантический отпечаток (fingerprint).

  • Цитировать