On explosion of linearly distributed charge of curvilinear form beneath the surface of a~ground
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 62-68.

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

In impulse statement, we consider a two-dimensional problem on explosion of a charge of curvilinear form beneath the surface of a ground. The problem is reduced to the study of the flow of an ideal fluid with a free surface. The flow area is conformally mapped onto a ring. A mapping is constructed by numerical-analytic method. We give the results of the calculation of the blowout funnel at various geometric and physical parameters.
Keywords: fluid, charge, parameter, funnel, problem, free surface.
@article{IVM_2015_9_a6,
     author = {L. M. Kotlyar and A. I. Voronkova},
     title = {On explosion of linearly distributed charge of curvilinear form beneath the surface of a~ground},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {62--68},
     publisher = {mathdoc},
     number = {9},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_9_a6/}
}
TY  - JOUR
AU  - L. M. Kotlyar
AU  - A. I. Voronkova
TI  - On explosion of linearly distributed charge of curvilinear form beneath the surface of a~ground
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2015
SP  - 62
EP  - 68
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2015_9_a6/
LA  - ru
ID  - IVM_2015_9_a6
ER  - 
%0 Journal Article
%A L. M. Kotlyar
%A A. I. Voronkova
%T On explosion of linearly distributed charge of curvilinear form beneath the surface of a~ground
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2015
%P 62-68
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2015_9_a6/
%G ru
%F IVM_2015_9_a6
L. M. Kotlyar; A. I. Voronkova. On explosion of linearly distributed charge of curvilinear form beneath the surface of a~ground. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2015), pp. 62-68. http://geodesic.mathdoc.fr/item/IVM_2015_9_a6/

[1] Lavrentev M. A., Shabat B. V., Problemy gidrodinamiki i ikh matematicheskie modeli, Nauka, M., 1973 | MR

[2] Kuznetsov V. M., “O forme voronki vybrosa pri vzryve na poverkhnosti grunta”, PMTF, 1960, no. 3, 152–257

[3] Ilinskii N. B., Potashev A. V., Kraevye zadachi teorii vzryva, Izd-vo Kazansk. un-ta, 1986 | MR

[4] Ilinskii N. B., Salimov R. B., “Obratnaya zadacha teorii vzryva”, Izv. vuzov. Matem., 1974, no. 2, 51–57 | MR | Zbl

[5] Kotlyar L. M., “O vzryve na poverkhnosti grunta lineino-raspredelennogo zaryada krivolineinoi formy”, PMTF, 1975, no. 1, 187–191

[6] Kotlyar L. M., “Ob odnom sluchae struinogo techeniya idealnoi zhidkosti”, Izv. vuzov. Matem., 1976, no. 2, 101–104 | MR | Zbl

[7] Uitteker E. G., Vatson D. N., Kurs sovremennogo analiza, Ch. II, Fizmatgiz, M., 1963

[8] Gurevich M. I., Teoriya strui idealnoi zhidkosti, Nauka, M., 1979