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Spectral gaps for the linear surface wave model in periodic channels. / Bakharev, F.L.; Ruotsalainen, K.; Taskinen, J.

в: Quarterly Journal of Mechanics and Applied Mathematics, Том 67, № 3, 2014, стр. 343-362.

Результаты исследований: Научные публикации в периодических изданияхстатья

Harvard

Bakharev, FL, Ruotsalainen, K & Taskinen, J 2014, 'Spectral gaps for the linear surface wave model in periodic channels', Quarterly Journal of Mechanics and Applied Mathematics, Том. 67, № 3, стр. 343-362. https://doi.org/10.1093/qjmam/hbu009

APA

Bakharev, F. L., Ruotsalainen, K., & Taskinen, J. (2014). Spectral gaps for the linear surface wave model in periodic channels. Quarterly Journal of Mechanics and Applied Mathematics, 67(3), 343-362. https://doi.org/10.1093/qjmam/hbu009

Vancouver

Bakharev FL, Ruotsalainen K, Taskinen J. Spectral gaps for the linear surface wave model in periodic channels. Quarterly Journal of Mechanics and Applied Mathematics. 2014;67(3):343-362. https://doi.org/10.1093/qjmam/hbu009

Author

Bakharev, F.L. ; Ruotsalainen, K. ; Taskinen, J. / Spectral gaps for the linear surface wave model in periodic channels. в: Quarterly Journal of Mechanics and Applied Mathematics. 2014 ; Том 67, № 3. стр. 343-362.

BibTeX

@article{3e59ffc1566b4f50a41422d609c2ac3a,
title = "Spectral gaps for the linear surface wave model in periodic channels",
abstract = "We consider the linear water-wave problem in a periodic channel which consists of infinitely many identical containers connected with apertures of width ɛ. Motivated by applications to surface wave propagation phenomena, we study the band-gap structure of the continuous spectrum. We show that for small apertures there exists a large number of gaps and also find asymptotic formulas for the position of the gaps as ɛ → 0: the endpoints are determined within corrections of order ɛ^{3/2}. The width of the first bands is shown to be O(ɛ). Finally, we give a sufficient condition which guarantees that the spectral bands do not degenerate into eigenvalues of infinite multiplicity.",
keywords = "band-gap sructure",
author = "F.L. Bakharev and K. Ruotsalainen and J. Taskinen",
year = "2014",
doi = "10.1093/qjmam/hbu009",
language = "English",
volume = "67",
pages = "343--362",
journal = "Quarterly Journal of Mechanics and Applied Mathematics",
issn = "0033-5614",
publisher = "Oxford University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Spectral gaps for the linear surface wave model in periodic channels

AU - Bakharev, F.L.

AU - Ruotsalainen, K.

AU - Taskinen, J.

PY - 2014

Y1 - 2014

N2 - We consider the linear water-wave problem in a periodic channel which consists of infinitely many identical containers connected with apertures of width ɛ. Motivated by applications to surface wave propagation phenomena, we study the band-gap structure of the continuous spectrum. We show that for small apertures there exists a large number of gaps and also find asymptotic formulas for the position of the gaps as ɛ → 0: the endpoints are determined within corrections of order ɛ^{3/2}. The width of the first bands is shown to be O(ɛ). Finally, we give a sufficient condition which guarantees that the spectral bands do not degenerate into eigenvalues of infinite multiplicity.

AB - We consider the linear water-wave problem in a periodic channel which consists of infinitely many identical containers connected with apertures of width ɛ. Motivated by applications to surface wave propagation phenomena, we study the band-gap structure of the continuous spectrum. We show that for small apertures there exists a large number of gaps and also find asymptotic formulas for the position of the gaps as ɛ → 0: the endpoints are determined within corrections of order ɛ^{3/2}. The width of the first bands is shown to be O(ɛ). Finally, we give a sufficient condition which guarantees that the spectral bands do not degenerate into eigenvalues of infinite multiplicity.

KW - band-gap sructure

U2 - 10.1093/qjmam/hbu009

DO - 10.1093/qjmam/hbu009

M3 - Article

VL - 67

SP - 343

EP - 362

JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

SN - 0033-5614

IS - 3

ER -

ID: 7010054