title: Mean solutions for the Kuramoto-Sivashinsky equation with incoming boundary conditions.
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.
authors.affiliation: Department of Earth System Science and Technology, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga 816-8580, Japan.
authors.forename: Youichi
authors.initials: Y
authors.lastname: Kitahara
authors.forename: Makoto
authors.initials: M
authors.lastname: Okamura