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Problem of low-frequency localized oscillations in a thin film with growing islands. / Indeitsev, Dmitry; Mochalova, Yulia.

In: Meccanica, Vol. 41, No. 3, 06.2006, p. 311-320.

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

Harvard

Indeitsev, D & Mochalova, Y 2006, 'Problem of low-frequency localized oscillations in a thin film with growing islands', Meccanica, vol. 41, no. 3, pp. 311-320. https://doi.org/10.1007/s11012-005-5900-x

APA

Indeitsev, D., & Mochalova, Y. (2006). Problem of low-frequency localized oscillations in a thin film with growing islands. Meccanica, 41(3), 311-320. https://doi.org/10.1007/s11012-005-5900-x

Vancouver

Indeitsev D, Mochalova Y. Problem of low-frequency localized oscillations in a thin film with growing islands. Meccanica. 2006 Jun;41(3):311-320. https://doi.org/10.1007/s11012-005-5900-x

Author

Indeitsev, Dmitry ; Mochalova, Yulia. / Problem of low-frequency localized oscillations in a thin film with growing islands. In: Meccanica. 2006 ; Vol. 41, No. 3. pp. 311-320.

BibTeX

@article{0e8fe0fceb9d4df0aa163c57f84dc5a4,
title = "Problem of low-frequency localized oscillations in a thin film with growing islands",
abstract = "Influence of localization waves to islands growing on a thin film is investigated. The film is modelled as a fluid layer covered by an inertial surface with the variable density of mass and surface tension. Mathematically, the problem is reduces to analysis of a system of non-linear equations describing the growth of island nuclei and wave propagation in the films. The existence of trapped modes for the corresponding frequency-domain problem is established. We show that for large time wave localization near islands gives some contribution in the increase of the velocity of island growth.",
keywords = "Discrete spectrum, Growing island, Thin film, Trapped mode",
author = "Dmitry Indeitsev and Yulia Mochalova",
note = "Funding Information: This work is supported by the Russian Foundation of Basic Research (grant number 03-01-96653). Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",
year = "2006",
month = jun,
doi = "10.1007/s11012-005-5900-x",
language = "English",
volume = "41",
pages = "311--320",
journal = "Meccanica",
issn = "0025-6455",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Problem of low-frequency localized oscillations in a thin film with growing islands

AU - Indeitsev, Dmitry

AU - Mochalova, Yulia

N1 - Funding Information: This work is supported by the Russian Foundation of Basic Research (grant number 03-01-96653). Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2006/6

Y1 - 2006/6

N2 - Influence of localization waves to islands growing on a thin film is investigated. The film is modelled as a fluid layer covered by an inertial surface with the variable density of mass and surface tension. Mathematically, the problem is reduces to analysis of a system of non-linear equations describing the growth of island nuclei and wave propagation in the films. The existence of trapped modes for the corresponding frequency-domain problem is established. We show that for large time wave localization near islands gives some contribution in the increase of the velocity of island growth.

AB - Influence of localization waves to islands growing on a thin film is investigated. The film is modelled as a fluid layer covered by an inertial surface with the variable density of mass and surface tension. Mathematically, the problem is reduces to analysis of a system of non-linear equations describing the growth of island nuclei and wave propagation in the films. The existence of trapped modes for the corresponding frequency-domain problem is established. We show that for large time wave localization near islands gives some contribution in the increase of the velocity of island growth.

KW - Discrete spectrum

KW - Growing island

KW - Thin film

KW - Trapped mode

UR - http://www.scopus.com/inward/record.url?scp=33745878567&partnerID=8YFLogxK

U2 - 10.1007/s11012-005-5900-x

DO - 10.1007/s11012-005-5900-x

M3 - Article

AN - SCOPUS:33745878567

VL - 41

SP - 311

EP - 320

JO - Meccanica

JF - Meccanica

SN - 0025-6455

IS - 3

ER -

ID: 75072527