Whispering-gallery waves in a~neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 151-166
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The asymptotics is constructed as $t\to\infty$ for the wave field generated by a whispering-gallery wave incident on an inflection point of the boundary. The asymptotics has ray character and is connected with the family of rays tangent to the convex part of the boundary beyond the point of inflection.
@article{ZNSL_1984_140_a13,
author = {M. M. Popov},
title = {Whispering-gallery waves in a~neighborhood of an inflection point of the boundary. {Asymptotics} of the wave field as $t\to\infty$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {151--166},
publisher = {mathdoc},
volume = {140},
year = {1984},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a13/}
}
TY - JOUR AU - M. M. Popov TI - Whispering-gallery waves in a~neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$ JO - Zapiski Nauchnykh Seminarov POMI PY - 1984 SP - 151 EP - 166 VL - 140 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a13/ LA - ru ID - ZNSL_1984_140_a13 ER -
%0 Journal Article %A M. M. Popov %T Whispering-gallery waves in a~neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$ %J Zapiski Nauchnykh Seminarov POMI %D 1984 %P 151-166 %V 140 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a13/ %G ru %F ZNSL_1984_140_a13
M. M. Popov. Whispering-gallery waves in a~neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 14, Tome 140 (1984), pp. 151-166. http://geodesic.mathdoc.fr/item/ZNSL_1984_140_a13/