Problem of Low-frequency Localized Oscillations in a Thin Film with Growing Islands

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 descri...

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Bibliographic Details
Published in:Meccanica (Milan) 2006-06, Vol.41 (3), p.311-320
Main Authors: Indeitsev, Dmitry, Mochalova, Yulia
Format: Article
Language:English
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Summary: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.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-005-5900-x