English

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

Chaotic Dynamics 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.nlin/0010010,
  title  = {Shock structures in time averaged patterns for the Kuramoto-Sivashinsky equation},
  author = {H. Sakaguchi},
  journal= {arXiv preprint arXiv:nlin/0010010},
  year   = {2009}
}

Comments

6 pages, 7 figures

R2 v1 2026-07-22T18:07:23.304Z