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Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. / Bakharev, F.L.; Nazarov, S.A.

In: Siberian Mathematical Journal, Vol. 56, No. 4, 2015, p. 575-592.

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

Harvard

Bakharev, FL & Nazarov, SA 2015, 'Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions', Siberian Mathematical Journal, vol. 56, no. 4, pp. 575-592. https://doi.org/10.1134/S0037446615040023

APA

Bakharev, F. L., & Nazarov, S. A. (2015). Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. Siberian Mathematical Journal, 56(4), 575-592. https://doi.org/10.1134/S0037446615040023

Vancouver

Bakharev FL, Nazarov SA. Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. Siberian Mathematical Journal. 2015;56(4):575-592. https://doi.org/10.1134/S0037446615040023

Author

Bakharev, F.L. ; Nazarov, S.A. / Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. In: Siberian Mathematical Journal. 2015 ; Vol. 56, No. 4. pp. 575-592.

BibTeX

@article{71931b27056f46908c67dfbc75e04662,
title = "Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions",
abstract = "We consider an acoustic waveguide (the Neumann problem for the Helmholtz equation) shaped like a periodic family of identical beads on a thin cylinder rod. Under minor restrictions on the bead and rod geometry, we use asymptotic analysis to establish the opening of spectral gaps and find their geometric characteristics. The main technical difficulties lie in the justification of asymptotic formulas for the eigenvalues of the model problem on the periodicity cell due to its arbitrary shape.",
author = "F.L. Bakharev and S.A. Nazarov",
year = "2015",
doi = "10.1134/S0037446615040023",
language = "English",
volume = "56",
pages = "575--592",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions

AU - Bakharev, F.L.

AU - Nazarov, S.A.

PY - 2015

Y1 - 2015

N2 - We consider an acoustic waveguide (the Neumann problem for the Helmholtz equation) shaped like a periodic family of identical beads on a thin cylinder rod. Under minor restrictions on the bead and rod geometry, we use asymptotic analysis to establish the opening of spectral gaps and find their geometric characteristics. The main technical difficulties lie in the justification of asymptotic formulas for the eigenvalues of the model problem on the periodicity cell due to its arbitrary shape.

AB - We consider an acoustic waveguide (the Neumann problem for the Helmholtz equation) shaped like a periodic family of identical beads on a thin cylinder rod. Under minor restrictions on the bead and rod geometry, we use asymptotic analysis to establish the opening of spectral gaps and find their geometric characteristics. The main technical difficulties lie in the justification of asymptotic formulas for the eigenvalues of the model problem on the periodicity cell due to its arbitrary shape.

U2 - 10.1134/S0037446615040023

DO - 10.1134/S0037446615040023

M3 - Article

VL - 56

SP - 575

EP - 592

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

ID: 3952668