Localized oscillations in thin films with growing islands
UDC
532.62Abstract
The influence of localization waves on islands growing on a thin film is investigated. The film is modeled as a fluid layer covered by an inertial surface with variable density of mass and surface tension. Mathematically, the problem is reduced to the analysis of a system of nonlinear equations describing the growth of island nuclei and waves propagation in the films.
Conditions of the existence of trapped modes for the corresponding frequency-domain problem have been defined. It has been shown that long-duration wave localization near islands gives some contribution in the increase of the velocity of island growth.
Funding information
This work is supported by the Russian Foundation of Fundamental Research (grant number 03-01-96653).
References
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Copyright (c) 2004 Индейцев Д.А., Мочалова Ю.А., Морозов Н.Ф.
This work is licensed under a Creative Commons Attribution 4.0 International License.
