Abstract
We consider herein the Kuramoto-Sivashinsky (KS) equation with incoming boundary conditions. Using a projection operator method, we have derived a set of closed equations for the mean quantities, called a model equation, from the KS equation. One of the characteristics of the model equation is that it does not include any empirical parameters. The adequacy of the model equation is verified by comparing solutions of the model equation with time-averaged solutions obtained from the numerical simulation of the KS equation.
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