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Shock structures in time averaged patterns for the Kuramoto-Sivashinsky equation

H. Sakaguchi
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Abstract

The Kuramoto-Sivashinsky equation with fixed boundary conditions is numerically studied. Shocklike structures appear in the time-averaged patterns for some parameter range of the boundary values. Effective diffusion constant is estimated from the relation of the width and the height of the shock structures.

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H. Sakaguchi. 2000-10-05. Shock structures in time averaged patterns for the Kuramoto-Sivashinsky equation. https://doi.org/10.1103/physreve.62.8817

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