Standard

High-frequency oscillations of "bouncing ball" type in an oblate ellipsoid of revolution. / Slavyanov, S. Yu.

In: Journal of Soviet Mathematics, Vol. 9, No. 4, 01.04.1978, p. 622-626.

Research output: Contribution to journal › Article › peer-review

Harvard

Slavyanov, SY 1978, 'High-frequency oscillations of "bouncing ball" type in an oblate ellipsoid of revolution', Journal of Soviet Mathematics, vol. 9, no. 4, pp. 622-626. https://doi.org/10.1007/BF01084487

APA

Slavyanov, S. Y. (1978). High-frequency oscillations of "bouncing ball" type in an oblate ellipsoid of revolution. Journal of Soviet Mathematics, 9(4), 622-626. https://doi.org/10.1007/BF01084487

Vancouver

Slavyanov SY. High-frequency oscillations of "bouncing ball" type in an oblate ellipsoid of revolution. Journal of Soviet Mathematics. 1978 Apr 1;9(4):622-626. https://doi.org/10.1007/BF01084487

Author

Slavyanov, S. Yu. / High-frequency oscillations of "bouncing ball" type in an oblate ellipsoid of revolution. In: Journal of Soviet Mathematics. 1978 ; Vol. 9, No. 4. pp. 622-626.

BibTeX

@article{8248c73f9bb74ca4b0fdb16e68f32db8,
title = "High-frequency oscillations of {"}bouncing ball{"} type in an oblate ellipsoid of revolution",
abstract = "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.",
author = "Slavyanov, {S. Yu}",
year = "1978",
month = apr,
day = "1",
doi = "10.1007/BF01084487",
language = "English",
volume = "9",
pages = "622--626",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

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