Geodesic
Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the Tokamak approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 2, pp. 269-292 
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/
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     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/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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