Standard

Eigenoscillations in a water-wave problem for an infinite pool of special form. / Lyalinov, Mikhail A.; Polyanskaya, Svetlana V.

Days on Diffraction, 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc., 2016. p. 291-294.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Lyalinov, MA & Polyanskaya, SV 2016, Eigenoscillations in a water-wave problem for an infinite pool of special form. in Days on Diffraction, 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc., pp. 291-294, 2016 International Conference Days on Diffraction, DD 2016, St. Petersburg, Russian Federation, 27/06/16. https://doi.org/10.1109/DD.2016.7756859

APA

Lyalinov, M. A., & Polyanskaya, S. V. (2016). Eigenoscillations in a water-wave problem for an infinite pool of special form. In Days on Diffraction, 2016: Proceedings (pp. 291-294). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2016.7756859

Vancouver

Lyalinov MA, Polyanskaya SV. Eigenoscillations in a water-wave problem for an infinite pool of special form. In Days on Diffraction, 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc. 2016. p. 291-294 https://doi.org/10.1109/DD.2016.7756859

Author

Lyalinov, Mikhail A. ; Polyanskaya, Svetlana V. / Eigenoscillations in a water-wave problem for an infinite pool of special form. Days on Diffraction, 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc., 2016. pp. 291-294

BibTeX

@inproceedings{901ce0151cbe414cb7a52c49dde98f56,
title = "Eigenoscillations in a water-wave problem for an infinite pool of special form",
abstract = "In the framework of the linearized theory of small-amplitude water waves, eigenfunctions of the point spectrum are studied for boundary-value problems in infinite domains. Special types of 3D infinite water pools characterised by cone-shaped bottoms and vertical side walls are considered. By means of the incomplete separation of variables, exploiting the Mellin transform, we reduce construction of the eigenmodes to finding solution for some functional difference equations with meromorphic coefficients. Behaviour of the eigenmodes at the singular point of the boundary and the rate of their decay at infinity are also considered.",
keywords = "Boundary conditions, Eigenvalues and eigenfunctions, Diffraction, Three-dimensional displays, Surface impedance, Mathematical model, Physics",
author = "Lyalinov, {Mikhail A.} and Polyanskaya, {Svetlana V.}",
year = "2016",
doi = "10.1109/DD.2016.7756859",
language = "English",
isbn = "9781509058013",
pages = "291--294",
booktitle = "Days on Diffraction, 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2016 International Conference Days on Diffraction, DD 2016 ; Conference date: 27-06-2016 Through 01-07-2016",

}

RIS

TY - GEN

T1 - Eigenoscillations in a water-wave problem for an infinite pool of special form

AU - Lyalinov, Mikhail A.

AU - Polyanskaya, Svetlana V.

PY - 2016

Y1 - 2016

N2 - In the framework of the linearized theory of small-amplitude water waves, eigenfunctions of the point spectrum are studied for boundary-value problems in infinite domains. Special types of 3D infinite water pools characterised by cone-shaped bottoms and vertical side walls are considered. By means of the incomplete separation of variables, exploiting the Mellin transform, we reduce construction of the eigenmodes to finding solution for some functional difference equations with meromorphic coefficients. Behaviour of the eigenmodes at the singular point of the boundary and the rate of their decay at infinity are also considered.

AB - In the framework of the linearized theory of small-amplitude water waves, eigenfunctions of the point spectrum are studied for boundary-value problems in infinite domains. Special types of 3D infinite water pools characterised by cone-shaped bottoms and vertical side walls are considered. By means of the incomplete separation of variables, exploiting the Mellin transform, we reduce construction of the eigenmodes to finding solution for some functional difference equations with meromorphic coefficients. Behaviour of the eigenmodes at the singular point of the boundary and the rate of their decay at infinity are also considered.

KW - Boundary conditions

KW - Eigenvalues and eigenfunctions

KW - Diffraction

KW - Three-dimensional displays

KW - Surface impedance

KW - Mathematical model

KW - Physics

UR - https://ieeexplore.ieee.org/document/7756859

UR - http://www.pdmi.ras.ru/~dd/download/PROC16.pdf

U2 - 10.1109/DD.2016.7756859

DO - 10.1109/DD.2016.7756859

M3 - Conference contribution

SN - 9781509058013

SP - 291

EP - 294

BT - Days on Diffraction, 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 International Conference Days on Diffraction, DD 2016

Y2 - 27 June 2016 through 1 July 2016

ER -

ID: 7628671