Stabilized Kuramoto-Sivashinsky equation: a useful model for secondary instabilities and related dynamics of experimental one-dimensional cellular flows.
نویسنده
چکیده
We report numerical simulations of one-dimensional cellular solutions of the stabilized Kuramoto-Sivashinsky equation. This equation offers a range of generic behavior in pattern-forming instabilities of moving interfaces, such as a host of secondary instabilities or transition toward disorder. We compare some of these collective behaviors to those observed in experiments. In particular, destabilization scenarios of bifurcated states are studied in a spatially semi-extended situation, which is common in realistic patterns, but has been barely explored so far.
منابع مشابه
The Stabilized Kuramoto-Sivashinsky Equation: A Useful Model For Secondary Instabilities and Related Dynamics of Experimental One-Dimensional Cellular Flows
We report numerical simulations of one-dimensional cellular solutions of the stabilized KuramotoSivashinsky (SKS) equation. This equation offers a range of generic behavior in pattern-forming instabilities of moving interfaces, like a host of secondary instabilities or transition toward disorder. We compare some of these collective behaviors to those observed in experiments. In particular desta...
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 76 1 Pt 2 شماره
صفحات -
تاریخ انتشار 2007