A Problem of an Ideal Fluid Flow with a Singular Sink at a Depression on the Bottom

A Problem of an Ideal Fluid Flow with a Singular Sink at a Depression on the Bottom Научная публикация

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Вых. Данные

Год: 2021, Том: 15, Страницы: 513 - 530 Страниц : 18 DOI: 10.1134/S1990478921030133

Авторы

Titova A.A. ¹

Организации

1	Lavrentyev Institute of Hydrodynamics

Under consideration is the two-dimensional stationary problem of flow of an ideal incompressible fluid bounded by an impenetrable bottom and a free surface from above. The flow is caused by a singular sink of a given strength that is located at the top of a triangular depression on the bottom. The problem is to determine the shape of the free boundary and the velocity field of the fluid. Using a conformal map and the Levi–Civita method, we rewrite the problem as an operator equation in a Hilbert space and prove the existence of a solution for the Froude number greater than some particular value.

Titova A.A.
A Problem of an Ideal Fluid Flow with a Singular Sink at a Depression on the Bottom
Journal of Applied and Industrial Mathematics. 2021. V.15. P.513 - 530. DOI: 10.1134/S1990478921030133 Scopus РИНЦ OpenAlex

Титова А.А.
Задача о потоке идеальной жидкости с сингулярным стоком во впадине на дне
Сибирский журнал индустриальной математики. 2021. Т.24. №3. С.101-121. DOI: 10.33048/SIBJIM.2021.24.308 РИНЦ OpenAlex

Поступила в редакцию:	17 мая 2021 г.
Принята к публикации:	24 июн. 2021 г.
Опубликована в печати:	16 мар. 2022 г.
Опубликована online:	16 мар. 2022 г.

Scopus:	2-s2.0-85126277635
РИНЦ:	48152328
OpenAlex:	W4233668312

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