@article{ZVMMF_1998_38_12_a9,
author = {I. A. Chegis},
title = {Electromagnetostatic operator, its spectral properties, and application to the problem of distribution of eddy currents},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2043--2054},
year = {1998},
volume = {38},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a9/}
}
TY - JOUR AU - I. A. Chegis TI - Electromagnetostatic operator, its spectral properties, and application to the problem of distribution of eddy currents JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1998 SP - 2043 EP - 2054 VL - 38 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a9/ LA - ru ID - ZVMMF_1998_38_12_a9 ER -
%0 Journal Article %A I. A. Chegis %T Electromagnetostatic operator, its spectral properties, and application to the problem of distribution of eddy currents %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1998 %P 2043-2054 %V 38 %N 12 %U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a9/ %G ru %F ZVMMF_1998_38_12_a9
I. A. Chegis. Electromagnetostatic operator, its spectral properties, and application to the problem of distribution of eddy currents. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 12, pp. 2043-2054. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_12_a9/
[1] Khizhnyak N. A., Integralnye uravneniya makroskopicheskoi elektrodinamiki, Nauk. dumka, Kiev, 1986
[2] Friedman M. J., “Mathematical study of the nonlinear singular integral magnetic field equation. I”, SIAM J. Appl. Math., 39:1 (1980), 14–20 | DOI | MR | Zbl
[3] Bykhovskii E. B., Smirnov H. B., “Ob ortogonalnom razlozhenii prostranstva vektor-funktsii, kvadratichno summiruemykh po dannoi oblasti, i operatorakh vektornogo analiza”, Tr. MIAN SSSR, 59, M., 1960, 5–36
[4] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970
[5] Miya K., Hashizume H., “Application of $T$-method to A. C. problem-based on boundary element method”, IEEE Trans. Magnetics, 24:1 (1988), 134–137 | DOI
[6] Chegis I. A., “Reshenie zadachi raspredeleniya vikhrevykh tokov”, Zh. vychisl. matem. i matem. fiz., 32:7 (1992), 1046–1056 | MR | Zbl
[7] Friedman M. J., “Mathematical study of the nonlinear singular integral magnetic field equation. III”, SIAM J. Math. Analys., 12:4 (1981), 536–540 | DOI | Zbl
[8] Mikhailov V. P., Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1983
[9] Veil G., Metod ortogonalnoi proektsii v teorii potentsiala, Izbr. tr. Matem. i teor. fiz., Nauka, M., 1984
[10] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987
[11] Dyakin V. V., Raevskii V. Ya., “Issledovanie odnogo uravneniya elektrofiziki”, Zh. vychisl. matem. i matem. fiz., 30:2 (1990), 291–297 | MR
[12] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, v. 8, Elektrodinamika sploshnykh sred, Nauka, M., 1982
[13] Gyunter N. M., Teoriya potentsiala i ee primenenie k osnovnym zadacham matematicheskoi fiziki, Gostekhteorizdat, M., 1953
[14] Chegis I. A., “Zadacha raspredeleniya vikhrevykh tokov. Teoremy suschestvovaniya, edinstvennosti, algoritm resheniya”, Zh. vychisl. matem. i matem. fiz., 34:7 (1994), 1053–1066 | MR | Zbl
[15] Kupradze V. D., Granichnye zadachi teorii kolebanii i integralnye uravneniya, Gostekhteorizdat, M.-L., 1950