Geodesic
On a general method for solving boundary value problems of aerohydrodynamics
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 3, pp. 74-82.

Voir la notice de l'article provenant de la source Math-Net.Ru

The well-known boundary-value problem of aerohydrodynamics is considered, in which it is required to find the distribution of the velocity of fluid particles on a wing profile that is streamlined by a potential flow of an incompressible inviscid liquid when the shape of the wing profile and the velocity of the unperturbed flow are specified. A new approach to solving the problem is proposed, similar to that used in the study of the inverse boundary value problem of aerohydrodynamics, when the shape of the wing profile is determined by the velocity distribution specified on it. The possibility of applying a new approach to solving the inverse mixed problem of aerohydrodynamics is noted, when part of the wing profile is specified, the rest is searched for by the velocity distribution set on it.
Keywords: boundary value problem of aerohydrodynamics, wing profile, integrated potential. . 
@article{SJIM_2021_24_3_a5,
     author = {R. B. Salimov and T. Yu. Gorskaya},
     title = {On a general method for solving boundary value problems of aerohydrodynamics},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {74--82},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a5/}
}
TY  - JOUR
AU  - R. B. Salimov
AU  - T. Yu. Gorskaya
TI  - On a general method for solving boundary value problems of aerohydrodynamics
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2021
SP  - 74
EP  - 82
VL  - 24
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a5/
LA  - ru
ID  - SJIM_2021_24_3_a5
ER  - 
%0 Journal Article
%A R. B. Salimov
%A T. Yu. Gorskaya
%T On a general method for solving boundary value problems of aerohydrodynamics
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2021
%P 74-82
%V 24
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a5/
%G ru
%F SJIM_2021_24_3_a5
R. B. Salimov; T. Yu. Gorskaya. On a general method for solving boundary value problems of aerohydrodynamics. Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 3, pp. 74-82. http://geodesic.mathdoc.fr/item/SJIM_2021_24_3_a5/

[1] M. A. Lavrent'ev, B. V. Shabat, Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1973

[2] N. E. Kochin, I. A. Kibel', N. V. Roze, Teoreticheskiya gidromekhanika, v. 1, Fizmatlit, M., 1963

[3] R. B. Salimov, “Novoe reshenie obratnoi kraevoi zadachi aerogidrodinamiki”, Izv. VUZov. Matematika, 2020, no. 1, 94–99 | Zbl

[4] G. G. Tumashev, M. T. Nuzhin, Obratnye kraevye zadachi i ikh prilozheniya, Izd-vo KazGU, Kazan', 1965

[5] F. D. Gakhov, Kraevye zadachi, Nauka, M., 1977