Orthogonal solutions of a spectral problem in the class of poloidal field
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2011), pp. 26-31
Voir la notice de l'article provenant de la source Math-Net.Ru
We prove the orthogonality of the eigenfields of the spectral problem $\mathrm{rot}\Delta S+\lambda \mathrm{rot}S =0$ in
the space of the poloidal field in a spherical shell.
Keywords:
spectral problem; the spherical shell; orthogonal field.
@article{VKAM_2011_1_a2,
author = {G. M. Vodinchar and L. K. Feshchenko},
title = {Orthogonal solutions of a spectral problem in the class of poloidal field},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {26--31},
publisher = {mathdoc},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2011_1_a2/}
}
TY - JOUR AU - G. M. Vodinchar AU - L. K. Feshchenko TI - Orthogonal solutions of a spectral problem in the class of poloidal field JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2011 SP - 26 EP - 31 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VKAM_2011_1_a2/ LA - ru ID - VKAM_2011_1_a2 ER -
G. M. Vodinchar; L. K. Feshchenko. Orthogonal solutions of a spectral problem in the class of poloidal field. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2011), pp. 26-31. http://geodesic.mathdoc.fr/item/VKAM_2011_1_a2/