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 Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Output data

Year: 2021, Volume: 15, Pages: 513 - 530 Pages count : 18 DOI: 10.1134/S1990478921030133

Authors

Titova A.A. ¹

Affiliations

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

Submitted:	May 17, 2021
Accepted:	Jun 24, 2021
Published print:	Mar 16, 2022
Published online:	Mar 16, 2022

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

Пока нет цитирований