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

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

2000-10-05

arxiv.org/abs/nlin/0010010v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 7 figures

Scientific paper

10.1103/PhysRevE.62.8817

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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