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- W1989635544 abstract "Wave evolution on a falling film is a classical hydrodynamic instability in an extended domain that exhibits a rich variety of noise-driven spatio-temporal behavior. There exists, however, generic underlying orders to the complex dynamics that are condition-independent and insensitive to noise. Such orders arise because the dynamics is driven by interaction among localized wave structures called pulses. Due to their localized structure, the usual self-similarity for systems with unbounded domains exists for each pulse and for the binary pulse-pulse interaction dynamics. We exploit the scale-invariant physics and the resulting scaling symmetries of the governing equations (which reduce to the Kuramoto-Sivashinsky equation in some limit) to show that the average pulse separation increases linearly downstream with a universal slope and the average pulse speed increases downstream by a universal exponent of 2/7. Both predictions are favorably compared to numerical and experimental data." @default.
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- W1989635544 date "1996-01-01" @default.
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- W1989635544 title "Scalings of spatio-temporal dynamics on a falling film" @default.
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- W1989635544 doi "https://doi.org/10.1088/0031-8949/1996/t67/013" @default.
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