Quasisolutions of the inverse boundary value problem of aerohydromechanics
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 13-24.

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

We study an ill-posed problem, namely, the inverse boundary value problem of aerohydromechanics, and propose a method for calculating its quasisolution in various normed spaces.
Keywords: inverse boundary value problems of aerohydromechanics, quasisolution, normed space.
@article{IVM_2013_5_a1,
     author = {P. N. Ivan'shin},
     title = {Quasisolutions of the inverse boundary value problem of aerohydromechanics},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {13--24},
     publisher = {mathdoc},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_5_a1/}
}
TY  - JOUR
AU  - P. N. Ivan'shin
TI  - Quasisolutions of the inverse boundary value problem of aerohydromechanics
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 13
EP  - 24
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_5_a1/
LA  - ru
ID  - IVM_2013_5_a1
ER  - 
%0 Journal Article
%A P. N. Ivan'shin
%T Quasisolutions of the inverse boundary value problem of aerohydromechanics
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 13-24
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_5_a1/
%G ru
%F IVM_2013_5_a1
P. N. Ivan'shin. Quasisolutions of the inverse boundary value problem of aerohydromechanics. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 13-24. http://geodesic.mathdoc.fr/item/IVM_2013_5_a1/

[1] Tumashev G. G., “Opredelenie formy granits potoka zhidkosti po zadannomu raspredeleniyu skorosti ili davleniya”, Uchen. zap. Kazansk. un-ta, 112, no. 3, 1952, 3–41

[2] Nuzhin M. T., Tumashev G. G., “Obratnye kraevye zadachi i ikh prilozheniya v gidroaeromekhanike”, Tr. semin. po kraev. zadacham, 7, Izd-vo Kazansk. un-ta, Kazan, 1970, 18–27 | MR

[3] Ilinskii N. B., Abzalilov D. F., Matematicheskie problemy proektirovaniya krylovykh profilei: uslozhnennye skhemy techeniya; postroenie i optimizatsiya formy krylovykh profilei, Kazansk. un-t, Kazan, 2011

[4] Elizarov A. M., “O kvaziresheniyakh vneshnei obratnoi kraevoi zadachi”, Izv. vuzov. Matem., 1984, no. 10, 42–50 | MR | Zbl

[5] Ivanov V. K., “O lineinykh nekorrektnykh zadachakh”, DAN SSSR, 145:2 (1962), 270–272 | Zbl

[6] Ivanov V. K., “O nekorrektno postavlennykh zadachakh”, Matem. sb., 61(103):2 (1963), 211–223 | MR | Zbl

[7] Avkhadiev F. G., Elizarov A. M., “Tochnye otsenki resheniya odnoi variatsionnoi obratnoi kraevoi zadachi v schetnosvyaznoi oblasti”, Izv. vuzov. Matem., 1996, no. 3, 3–13 | MR | Zbl

[8] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979 | MR

[9] Avkhadiev F. G., Maklakov D. V., “Kriterii razreshimosti zadachi postroeniya profilei po kavitatsionnoi diagramme”, Izv. vuzov. Matem., 1994, no. 7, 3–12 | MR | Zbl