Geodesic
Oscillations of a rotating stratified fluid with its free surface excited by moving sources
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 903-922 
L. V. Perova. Oscillations of a rotating stratified fluid with its free surface excited by moving sources. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 903-922. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a9/
@article{ZVMMF_2007_47_5_a9,
     author = {L. V. Perova},
     title = {Oscillations of a~rotating stratified fluid with its free surface excited by moving sources},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {903--922},
     year = {2007},
     volume = {47},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a9/}
}
TY  - JOUR
AU  - L. V. Perova
TI  - Oscillations of a rotating stratified fluid with its free surface excited by moving sources
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 903
EP  - 922
VL  - 47
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a9/
LA  - ru
ID  - ZVMMF_2007_47_5_a9
ER  - 
%0 Journal Article
%A L. V. Perova
%T Oscillations of a rotating stratified fluid with its free surface excited by moving sources
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 903-922
%V 47
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a9/
%G ru
%F ZVMMF_2007_47_5_a9

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

Propagation of small perturbations in a weakly stratified inviscid fluid rotating at a constant angular velocity in the lower half-space is studied. The source of excitation is a plane wave traveling on the free surface of the fluid. An explicit analytical solution to the problem is constructed. Existence and uniqueness theorems are proved. The long-time wave pattern in the fluid is analyzed.

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

[2] Gabov S. A., Novye zadachi matematicheskoi teorii voln, Nauka, M., 1998 | Zbl

[3] Perova L. V., “O kolebaniyakh polubeskonechnoi stratifitsirovannoi zhidkosti pri vozbuzhdenii ee svobodnoi poverkhnosti dvizhuschimisya istochnikami”, Zh. vychisl. matem. i matem. fiz., 45:6 (2005), 1107–1124 | MR | Zbl

[4] Perova L. B., “O kolebaniyakh polubeskonechnoi vraschayuscheisya zhidkosti pri vozbuzhdenii ee svobodnoi poverkhnosti dvizhuschimisya istochnikami”, Zh. vychisl. matem. i matem. fiz., 46:5 (2006), 932–947 | MR

[5] Alshin A. B., Perova L. V., “O kolebaniyakh stratifitsirovannoi vraschayuscheisya zhidkosti, vozbuzhdaemykh volnoi, beguschei po naklonnomu dnu”, Zh. vychisl. matem. i matem. fiz., 40:3 (2000), 473–482 | MR

[6] Sveshnikov A. G., Tikhonov A. N., Teoriya funktsii kompleksnoi peremennoi, Nauka, M., 1991 | MR

[7] Fedoryuk M. F., Asimptotika. Integraly i ryady, Nauka, M., 1987 | MR

[8] Perova L. V., Pletner Yu. D., Sveshnikov A. G., “O kolebaniyakh stratifitsirovannoi i vraschayuscheisya zhidkosti, vozbuzhdaemykh ploskoi beguschei po dnu volnoi”, Zh. vychisl. matem. i matem. fiz., 40:1 (2000), 136–143 | MR | Zbl