Geodesic
Energy characteristics of non-stationary internal waves in a vertical channel containing a stratified liquid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 751-766 
S. A. Gabov; P. A. Krutitskii. Energy characteristics of non-stationary internal waves in a vertical channel containing a stratified liquid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 751-766. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a10/
@article{ZVMMF_1990_30_5_a10,
     author = {S. A. Gabov and P. A. Krutitskii},
     title = {Energy characteristics of non-stationary internal waves in a~vertical channel containing a~stratified liquid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {751--766},
     year = {1990},
     volume = {30},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a10/}
}
TY  - JOUR
AU  - S. A. Gabov
AU  - P. A. Krutitskii
TI  - Energy characteristics of non-stationary internal waves in a vertical channel containing a stratified liquid
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1990
SP  - 751
EP  - 766
VL  - 30
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a10/
LA  - ru
ID  - ZVMMF_1990_30_5_a10
ER  - 
%0 Journal Article
%A S. A. Gabov
%A P. A. Krutitskii
%T Energy characteristics of non-stationary internal waves in a vertical channel containing a stratified liquid
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1990
%P 751-766
%V 30
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a10/
%G ru
%F ZVMMF_1990_30_5_a10

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

An explicit solution is obtained for the initial-boundary value problem of non-stationary internal waves in a vertical channel containing a stratified liquid generated by small vibrations of the bottom of the channel. The behaviour of the energy and the flow of energy of internal waves is studied as a function of time and the frequency of the force generating the vibrations. Asymptotic formulae for long times are obtained.

[1] Gabov S. A., Orazov B. B., Sveshnikov A. G., “K nestatsionarnoi teorii vnutrennikh voln”, Zh. vychisl. matem. i matem. fiz., 26:8 (1986), 1223–1233 | MR | Zbl

[2] Krutitskii P. A., “Ob energii nestatsionarnykh kolebanii stratifitsirovannoi zhidkosti v poluogranichennom kanale”, Neklassich. differents. ur-niya v chastnykh proizvodnykh, In-t matem. SO AH CSSR, Novosibirsk, 1988, 61–69 | MR

[3] Gabov S. A., Krutitskii P. A., “Ob energeticheskikh kharakteristikakh gorizontalnogo kanala, zapolnennogo stratifitsirovannoi zhidkostyu”, Zh. vychisl. matem. i matem. fiz., 29:11 (1989), 1662–1673 | MR | Zbl