Primary Patterns in Faraday Surface Waves at High Aspect Ratio
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概要
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The pattern selection in Faraday surface water waves caused by the instability of the stateof no waves is examined under the assumption of high aspect ratio. First, nonlinear evolutionequations for the annplitttdes of resonant capillary-gravity waves with difl'erent directions ofwavenumber vector are derived. These equations include cubic nonlinearity and the effects ofviscous damping and parametric forcing obtained frona the energy equation. Then, trsing themethod of a center manifold, quintic amplitude eqttations for tmnstable tnodes are derived in whichcubic damping and forcing are included. From these equations, it is concltrded that the sqttaresare stable for sufficiently short waves, the hexagons and the 8-f'old quasipatterns are stable whenthe wavelength is within two intermediate regions, and the stripes are always unstable.
- 社団法人日本物理学会の論文
- 1998-02-15
著者
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Funakoshi Mitsuaki
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Yoshimatsu Katsunori
Department Of Applied Mathematics And Physics Kyoto University
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Yoshimatsu Katsunori
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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Yoshimatsu Katsunori
Department Of Applied Analysis And Complex Dynamical Systems
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