Wave motions in a stratified electrically conducting rotating fluid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 916-922 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The 3D ynamics equations for the stratified superconducting rotating fluid are studied. These equations are reduced to a scalar equation by representing the magnetic and density fields by a superposition of the unperturbed fields corresponding to the steady state of the fluid and the induced fields appearing due to the wave motion; the reduction also uses two auxiliary functions. The analysis of the scalar equation enables us to prove the solvability of the initial-boundary value problems of the wave theory for electrically conducting rotating fluids with nonhomogeneous density.
@article{ZVMMF_2009_49_5_a12,
     author = {S. E. Kholodova},
     title = {Wave motions in a~stratified electrically conducting rotating fluid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {916--922},
     year = {2009},
     volume = {49},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a12/}
}
TY  - JOUR
AU  - S. E. Kholodova
TI  - Wave motions in a stratified electrically conducting rotating fluid
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 916
EP  - 922
VL  - 49
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a12/
LA  - ru
ID  - ZVMMF_2009_49_5_a12
ER  - 
%0 Journal Article
%A S. E. Kholodova
%T Wave motions in a stratified electrically conducting rotating fluid
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 916-922
%V 49
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a12/
%G ru
%F ZVMMF_2009_49_5_a12
S. E. Kholodova. Wave motions in a stratified electrically conducting rotating fluid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 5, pp. 916-922. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_5_a12/

[1] Braginskii S. I., “Volny v ustoichivo stratifitsirovannom sloe na poverkhnosti zemnogo yadra”, Geomagn. aeronomika, 3 (1987), 476–482

[2] Aven G., Feltkhammar K.-G., Kosmicheskaya elektrodinamika, Mir, M., 1967

[3] Aleshkov Yu. Z., Matematicheskoe modelirovanie fizicheskikh protsessov, Izd-vo SPbGU, SPb., 2001

[4] Gunko Yu. F., Norin A. B., Filippov B. V., Elektromagnitnaya gazodinamika plazmy, Izd-vo SPbGU, SPb., 2003

[5] Landau L. D., Lifshits E. M., Teoreticheskaya fizika. T. 8. Elektrodinamika sploshnykh sred, Nauka, M., 1992 | MR

[6] Sherklif Dzh., Kurs magnitnoi gidrodinamiki, Mir, M., 1967

[7] Moren K., Metody gilbertova prostranstva, Mir, M., 1965 | MR

[8] Gabov C. A., Sveshnikov A. G., Lineinye zadachi nestatsionarnykh vnutrennikh voln, Nauka, M., 1990