Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 13, Tome 128 (1983), pp. 13-20
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V. M. Babich. Skin-phenomenon in the case of a wire with arbitrary cross-section. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 13, Tome 128 (1983), pp. 13-20. http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a1/
@article{ZNSL_1983_128_a1,
author = {V. M. Babich},
title = {Skin-phenomenon in the case of a~wire with arbitrary cross-section},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {13--20},
year = {1983},
volume = {128},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a1/}
}
TY - JOUR
AU - V. M. Babich
TI - Skin-phenomenon in the case of a wire with arbitrary cross-section
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 13
EP - 20
VL - 128
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a1/
LA - ru
ID - ZNSL_1983_128_a1
ER -
%0 Journal Article
%A V. M. Babich
%T Skin-phenomenon in the case of a wire with arbitrary cross-section
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 13-20
%V 128
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_128_a1/
%G ru
%F ZNSL_1983_128_a1
An asymptotic theory of skin-phenomenon is developed. The important part of construction is matching of asymptotic expansions. The problem is reduced to solution of a sequence of Dirichlet problems for the domain $\mathbb R^2\setminus\Omega$ ($\Omega$ is the cross section of the wire).
