A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation
نویسندگان
چکیده
منابع مشابه
A new mode reduction strategy for the generalized Kuramoto–Sivashinsky equation
Consider the generalized Kuramoto–Sivashinsky (gKS) equation. It is a model prototype for a wide variety of physical systems, from flame-front propagation, and more general front propagation in reaction– diffusion systems, to interface motion of viscous film flows. Our aim is to develop a systematic and rigorous low-dimensional representation of the gKS equation. For this purpose, we approximat...
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In this paper we obtain exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. The methods used to determine the exact solutions of the underlying equation are the Lie group analysis and the simplest equation method. The solutions obtained are then plotted.
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The problem of constructing data-based, predictive, reduced models for the KuramotoSivashinsky equation is considered, under circumstances where one has observation data only for a small subset of the dynamical variables. Accurate prediction is achieved by developing a discrete-time stochastic reduced system, based on a NARMAX (Nonlinear Autoregressive Moving Average with eXogenous input) repre...
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ژورنال
عنوان ژورنال: IMA Journal of Applied Mathematics
سال: 2013
ISSN: 0272-4960,1464-3634
DOI: 10.1093/imamat/hxt041