Geodesic
Localized asymptotic solutions of the magneto dynamo equation in $ABC$ fields
Matematičeskie zametki, Tome 54 (1993) no. 4, pp. 45-68.

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

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S. Yu. Dobrokhotov; V. Martines Olive. Localized asymptotic solutions of the magneto dynamo equation in $ABC$ fields. Matematičeskie zametki, Tome 54 (1993) no. 4, pp. 45-68. http://geodesic.mathdoc.fr/item/MZM_1993_54_4_a5/

[1] Krause F., Rädler K.-H., Mean-Field Magnetohydrodynamics and Dynamo Theory, Springer-Verlag, Berlin, 1980

[2] Moffat H. K., Magnetic field generation in electrically conducting fluids, Univ. Press, Cambridge, 1978

[3] Parker E. N., Cosmic magnetic fields, Univ. Press, Oxford, 1979

[4] Soward A. M., “A kinematic theory of large magnetic Reynolds dynamos”, Phil. Trans. R. Soc., 72 (1972), 431–462

[5] Zeldovich Ya. B., Ruzmaikin A. A., “Magnitnoe pole v provodyaschei zhidkosti dvizhuscheisya v dvukh izmereniyakh”, ZhETF, 78:3 (1979), 980–986 | MR

[6] Arnold V. I., “Zamechanie o povedenii techenii trekhmernoi idealnoi zhidkosti pri malom vozmuschenii nachalnogo polya skorostei”, PMM, 36:2 (1972), 255–262 | MR | Zbl

[7] Vishik M. M., “Magnetic field generation by the motion of a highly conducting fluid”, Geophys. and Astrophys. Fluid Dyn., 48 (1989), 151–167 | DOI | MR | Zbl

[8] Arnold V. I., Korkina E. I., “Rost magnitnogo polya v trekhmernom statsionarnom potoke neszhimaemoi zhidkosti”, Vestnik MGU. Ser. 1, Matematika, mekhanika, 1983, no. 3, 43–46 | MR | Zbl

[9] Galloway D., Frisch U., “A numerical investigation of magnetic field generation in a flow with chaotic streamlines”, Geophys. and Asrophys. Fluid Dyn., 29 (1984), 14–18 | MR

[10] Galloway D., Frisch U., “Dynamo action in a family of flows with chaotic streamlines”, Geophys. and Asrophys. Fluid Dyn., 31:1 (1986), 53–83 | DOI | MR

[11] Arnold V., “Sur la geometrie differentielle des groupes de Lie de dimension infinie et ses applications al'hydrodinamique des fluides parfaits”, Annales de l'Institut Fourier, 16:1 (1966), 347

[12] Childress S., “On the rapid generation of magnetic fields”, Chaos in Astrophysics, NATO ASI. Ser. C, 161, eds. Buchler J. R. et al., 1985, 223–244

[13] Zeldovich Ya. B., Ruzmaikin A. A., Molchanov S. A., Sokoloff D. D., “Kinematic dynamo problem in a linear velocity field”, J. Fluid Mech., 144 (1984), 1–11 | DOI | Zbl

[14] Martines Olive V., Dis. ... kand. fiz.-mat. nauk, MGU, M., 1990

[15] Maslov V. P., Kompleksnyi metod VKB v nelineinykh uravneniyakh, Nauka, M., 1978

[16] Maslov V. P., “Globalnye eksponentsialnye asimptotiki reshenii uravnenii tunnelnogo tipa i zadachi bolshikh uklonenii”, Tr. MIAN, 163, Nauka, M., 1984, 150–180 | MR | Zbl