Geodesic
A mixed problem for the equation of internal gravity waves in an infinite cylindrical domain
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1475-1493 
B. A. Iskenderov; A. I. Mamedova. A mixed problem for the equation of internal gravity waves in an infinite cylindrical domain. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1475-1493. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a10/
@article{ZVMMF_2006_46_8_a10,
     author = {B. A. Iskenderov and A. I. Mamedova},
     title = {A~mixed problem for the equation of internal gravity waves in an infinite cylindrical domain},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1475--1493},
     year = {2006},
     volume = {46},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a10/}
}
TY  - JOUR
AU  - B. A. Iskenderov
AU  - A. I. Mamedova
TI  - A mixed problem for the equation of internal gravity waves in an infinite cylindrical domain
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2006
SP  - 1475
EP  - 1493
VL  - 46
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a10/
LA  - ru
ID  - ZVMMF_2006_46_8_a10
ER  - 
%0 Journal Article
%A B. A. Iskenderov
%A A. I. Mamedova
%T A mixed problem for the equation of internal gravity waves in an infinite cylindrical domain
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 1475-1493
%V 46
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a10/
%G ru
%F ZVMMF_2006_46_8_a10

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

The existence of a unique classical solution to the mixed problem for the equation describing internal gravity waves in a cylindrical domain is proved. The behavior of the solution is studied at $t\to+\infty$.

[1] Gabov S. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR

[2] Iskenderov B. A., Sardarov V. G., “Smeshannaya zadacha dlya uravneniya Bussineska v tsilindricheskoi oblasti i povedenie ee resheniya pri bolshikh znacheniyakh vremeni”, Zh. vychisl. matem. i matem. fiz., 44:3 (2004), 514–527 | MR | Zbl

[3] Iskenderov B. A., “Principles of radiation for elliptic equation in the cylindrical domain”, Colloquia Math. Sociotatis Janos Bolyai, 53, Szeged, Hungary, 1988, 249–261 | MR

[4] Mizokhata S., Teoriya uravnenii s chastnymi proizvodnymi, Mir, M., 1977

[5] Mikhailov V. P., Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1983 | MR

[6] Nikiforov A. B., Uvarov V. V., Spetsialnye funktsii matematicheskoi fiziki, Nauka, M., 1974 | MR