Shock structures in time averaged patterns for the Kuramoto-Sivashinsky equation
arXiv:nlin/0010010 · doi:10.1103/PhysRevE.62.8817
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.
6 pages, 7 figures