Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
High-frequency oscillations of "bouncing ball" type in an oblate ellipsoid of revolution. / Slavyanov, S. Yu.
в: Journal of Soviet Mathematics, Том 9, № 4, 01.04.1978, стр. 622-626.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - High-frequency oscillations of "bouncing ball" type in an oblate ellipsoid of revolution
AU - Slavyanov, S. Yu
PY - 1978/4/1
Y1 - 1978/4/1
N2 - Uniform asymptotic equations for high-frequency oscillations concentrated in a neighborhood of the minor axis of an oblate ellipsoid of revolution are obtained by separation of variables in the Helmholtz equation. Two correction terms are found in the asymptotic equation for the eigenfrequencies and their effect on numerical estimates and degeneracy effects are discussed.
AB - Uniform asymptotic equations for high-frequency oscillations concentrated in a neighborhood of the minor axis of an oblate ellipsoid of revolution are obtained by separation of variables in the Helmholtz equation. Two correction terms are found in the asymptotic equation for the eigenfrequencies and their effect on numerical estimates and degeneracy effects are discussed.
UR - http://www.scopus.com/inward/record.url?scp=34250276616&partnerID=8YFLogxK
U2 - 10.1007/BF01084487
DO - 10.1007/BF01084487
M3 - Article
AN - SCOPUS:34250276616
VL - 9
SP - 622
EP - 626
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 4
ER -
ID: 41348702