Geodesic
Non-stationary axially symmetric electromagnetic field in a deforming spherical shell
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 4, pp. 90-95

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A non-stationary problem of determining the electromagnetic field components in a thick-wall spherical shell according to the assumed axially symmetric displacement field is considered. A linearized model, which includes Maxwell's equations and Ohm's generalized law, is used. For solving the problem, the expansions in series are used, as well as Laplace's transformation in the time domain and integral representations with nuclei in the form of Green's functions. These functions are deduced in a quasi-static approximation. An analytical solution is described. A translational shell motion is provided as an example.
Keywords: non-stationary electromagnetic field, spherical shell, axial symmetry, assumed displacement field, expansions in series, Green functions.
Mots-clés : Laplace transformation 
@article{UZKU_2015_157_4_a7,
     author = {V. A. Vestyak and D. V. Tarlakovskii},
     title = {Non-stationary axially symmetric electromagnetic field in a~deforming spherical shell},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {90--95},
     publisher = {mathdoc},
     volume = {157},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_4_a7/}
}
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V. A. Vestyak; D. V. Tarlakovskii. Non-stationary axially symmetric electromagnetic field in a deforming spherical shell. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 4, pp. 90-95. http://geodesic.mathdoc.fr/item/UZKU_2015_157_4_a7/