Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the Tokamak approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 2, pp. 269-292 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An asymptotic solution of the magnetohydrodynamic equations for large Reynolds numbers is constructed in the approximation of a strong longitudinal magnetic field. Model equations that generalize the Kadomtsev–Pogutze equations to the case of toroidal symmetry are derived. The asymptotic stability of the constructed solution is demonstrated.
@article{TMF_1992_92_2_a6,
     author = {V. P. Maslov and G. A. Omel'yanov},
     title = {Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the {Tokamak} approximation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {269--292},
     year = {1992},
     volume = {92},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_2_a6/}
}
TY  - JOUR
AU  - V. P. Maslov
AU  - G. A. Omel'yanov
TI  - Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the Tokamak approximation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 269
EP  - 292
VL  - 92
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_92_2_a6/
LA  - ru
ID  - TMF_1992_92_2_a6
ER  - 
%0 Journal Article
%A V. P. Maslov
%A G. A. Omel'yanov
%T Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the Tokamak approximation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 269-292
%V 92
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1992_92_2_a6/
%G ru
%F TMF_1992_92_2_a6
V. P. Maslov; G. A. Omel'yanov. Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the Tokamak approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 2, pp. 269-292. http://geodesic.mathdoc.fr/item/TMF_1992_92_2_a6/

[1] Kadomtsev B. B., Kollektivnye yavleniya v plazme, Nauka, M., 1988 | MR | Zbl

[2] Landau L. D., Lifshits E. M., Elektrodinamika sploshnykh sred, Nauka, M., 1982 | MR

[3] Maslov V. P., UMN, 41:6 (1986), 19–35 | MR

[4] Maslov V. P., Mathematical aspects of integral optics, VINITI, M., 1983

[5] Maslov V. P., Asimptoticheskie metody resheniya psevdodifferentsialnykh uravnenii, Nauka, M., 1987 | MR

[6] Maslov V. P., Omelyanov G. A., Izv. vuzov. Fizika, 1986, no. 3, 3–23

[7] Maslov V. P., Omelyanov G. A., UMZh, 39:4 (1987), 464–472 ; 6, 737–744 | MR | Zbl

[8] Shtaras A. L., DAN SSSR, 237:3 (1977), 525–528 | MR | Zbl

[9] Kalyakin L. A., UMN, 44:1 (1989), 5–34 | MR | Zbl

[10] Majda A. I., Hunter I. K., Rosables R., Stud. in Appl. Math., 75 (1986), 187–226 | DOI | MR | Zbl

[11] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR

[12] Kadomtsev B. B., Pogutse O. P., ZhETF, 65:2 (1973), 575–589

[13] Rosenbluth M. N., Monticello D. A., Strauss H., White R. B., Phys. Fluids, 19:2 (1976), 1987–1996 | DOI

[14] Dnestrovskii Yu. N., Kostomarov D. P., Matematicheskoe modelirovanie plazmy, Nauka, M., 1982

[15] Maslov V. P., Omel'yanov G. A., Tsupin V. A., J. of Sov. Comput. Mech., 1:1 (1992), 5–16