Standing waves, localised near the shoreline of a water basin, and asymptotic quasimodes.

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Standing waves, localised near the shoreline of a water basin, and asymptotic quasimodes. / Лялинов, Михаил Анатольевич.

In: Journal of Fluid Mechanics, Vol. 988, A22 , 10.06.2024.

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

BibTeX

@article{3055a8d2fcc14e02ac3c5a8c951b55a6,

title = "Standing waves, localised near the shoreline of a water basin, and asymptotic quasimodes.",

abstract = "In this work, formal asymptotic solutions of a problem for linear water waves in a boundedbasin are constructed. The solutions have the form of asymptotic quasi-modes and areused for the description of standing water waves localised near the shoreline. Such shortwavelengthquasi-modes exist only for a discrete set of frequencies which are determinedby means of a quantisation-type condition. Some numerical results are also addressed.",

keywords = "Faraday waves, surface gravity waves, wave scattering",

author = "Лялинов, {Михаил Анатольевич}",

year = "2024",

month = jun,

day = "10",

doi = "10.1017/jfm.2024.438",

language = "English",

volume = "988",

journal = "Journal of Fluid Mechanics",

issn = "0022-1120",

publisher = "Cambridge University Press",

}

RIS

TY - JOUR

T1 - Standing waves, localised near the shoreline of a water basin, and asymptotic quasimodes.

AU - Лялинов, Михаил Анатольевич

PY - 2024/6/10

Y1 - 2024/6/10

N2 - In this work, formal asymptotic solutions of a problem for linear water waves in a boundedbasin are constructed. The solutions have the form of asymptotic quasi-modes and areused for the description of standing water waves localised near the shoreline. Such shortwavelengthquasi-modes exist only for a discrete set of frequencies which are determinedby means of a quantisation-type condition. Some numerical results are also addressed.

AB - In this work, formal asymptotic solutions of a problem for linear water waves in a boundedbasin are constructed. The solutions have the form of asymptotic quasi-modes and areused for the description of standing water waves localised near the shoreline. Such shortwavelengthquasi-modes exist only for a discrete set of frequencies which are determinedby means of a quantisation-type condition. Some numerical results are also addressed.

KW - Faraday waves

KW - surface gravity waves

KW - wave scattering

UR - https://www.mendeley.com/catalogue/e9aa96f3-149e-3606-a9a4-4e7e3df22123/

U2 - 10.1017/jfm.2024.438

DO - 10.1017/jfm.2024.438

M3 - Article

VL - 988

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

M1 - A22

ER -

ID: 120070073