Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 98-108
Citer cet article
N. Ya. Kirpichnikova. On asymptotic behavior of non-stationary wave field singularities near the space-time caustic. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 98-108. http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/
@article{ZNSL_1986_156_a8,
author = {N. Ya. Kirpichnikova},
title = {On asymptotic behavior of non-stationary wave field singularities near the space-time caustic},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {98--108},
year = {1986},
volume = {156},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/}
}
TY - JOUR
AU - N. Ya. Kirpichnikova
TI - On asymptotic behavior of non-stationary wave field singularities near the space-time caustic
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 98
EP - 108
VL - 156
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/
LA - ru
ID - ZNSL_1986_156_a8
ER -
%0 Journal Article
%A N. Ya. Kirpichnikova
%T On asymptotic behavior of non-stationary wave field singularities near the space-time caustic
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 98-108
%V 156
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a8/
%G ru
%F ZNSL_1986_156_a8
Cauchy problem for wave equation in the case of discontinuity on the initial front is investigated. The discontinuity is given by homogeneous generalized function (degree $\lambda$). The transformation of initial front passed the space-time caustic is examined and as a result uniform wave field asymptotics expressed in terms of polynomial Legendre is obtained.
