Geodesic
Asymptotic solutions of the Landau–Lifshitz equation and quasisteady motion of bubbles in magnetic films
Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 447-467 
V. P. Maslov; V. M. Chetverikov. Asymptotic solutions of the Landau–Lifshitz equation and quasisteady motion of bubbles in magnetic films. Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 447-467. http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a10/
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     author = {V. P. Maslov and V. M. Chetverikov},
     title = {Asymptotic solutions of the {Landau{\textendash}Lifshitz} equation and quasisteady motion of bubbles in magnetic films},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Asymptotic solutions to the system of Landau–Lifshitz and magnetostatic equations corresponding to an isolated bubble in a ferromagnetic film are constructed. The dimensionless small parameter of the asymptotic behavior is $\varepsilon=(2Q)^{-1}$, where $Q$ is the quality factor. Equations that determine the quasisteady dynamics and the structure of bubbles that do not contain Bloeh lines are obtained. The method of constructing single-phase asymptotic solutions of the original equations is based on essentially the same ideas as the Krylov–Bogolyubov method of averaging.

[1] Sklyanin E. K., Preprint E 3-79, LOMI, L., 1979

[2] Borovik A. E., Pisma v ZhETF, 28:10 (1978), 629–632 | MR

[3] Bogdan M. M., Kovalev A. S., Pisma v ZhETF, 31 (1980), 453

[4] Michailov A. V., Phys. Lett. A, 92:2 (1982), 111 | MR

[5] Bobenko A. M., Differentsialnaya geometriya, gruppy Li i mekhanika. V, Zap. nauchn. semin. LOMI, 123, 1983, 58 | MR | Zbl

[6] Malozemov A., Slonzuski Dzh., Domennye stenki v materialakh s tsilindricheskimi magnitnymi domenami, Mir, M., 1982

[7] Baryakhtar V. G., Gann V. V., Gorobets Yu. I., Smolenskii G. A., Filippov B. N., UFN, 121:4 (1977), 593–628 | DOI

[8] Landau L. D., Lifshits E. M., Phys. Zs. Sowjet., 8 (1935), 153 | Zbl

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

[10] Boyarchenkov M. A., Vasileva N. P., Rozental Yu. D., Logicheskie ustroistva na magnitnykh sredakh s upravlyaemym dvizheniem domenov, Energiya, M., 1978

[11] Lisovskii F. V., Fizika tsilindricheskikh magnitnykh domenov, Sov. radio, M., 1979

[12] Eshenfelder A., Fizika i tekhnika tsilindricheskikh magnitnykh domenov, Mir, M., 1983

[13] Maslov V. P., Omelyanov G. A., UMN, 36:3 (1981), 63–126 | MR | Zbl

[14] Maslov V. P., Omelyanov G. A., Sib. matem. zh., 24:5 (1983), 172 | MR | Zbl

[15] Dobrochotov S., Maslov V., Sov. Scien. Rev. (N. Y.), 3, 1982, 221

[16] Thiele A. A., The Bell system technical J., 48:10 (1969), 3287–3336 | DOI | MR

[17] Raev V. K., Khodenkov G. E., Tsilindricheskie magnitnye domeny v elementakh vychislitelnoi tekhniki, Energoizdat, M., 1981