LONG-WAVELENGTH PROPERTIES OF THE KURAMOTO-SIVASHINSKY EQUATION

Authors
HAYOT F JAYAPRAKASH C JOSSERAND C
Citation
F. Hayot et al., LONG-WAVELENGTH PROPERTIES OF THE KURAMOTO-SIVASHINSKY EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(2), 1993, pp. 911-915
Citations number
10
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
2
Year of publication
1993
Pages
911 - 915
Database
ISI
SICI code
1063-651X(1993)47:2<911:LPOTKE>2.0.ZU;2-B
Abstract
We study the long-wavelength properties of the one-dimensional Kuramot o-Sivashinsky equation. We determine all the parameters in the effecti ve long-wavelength equation, interpret the phenomenological coefficien ts in terms of microscopic quantities, and estimate the time and lengt h scales where the behavior crosses over from linear diffusive to that of the full nonlinear equation. We corroborate our analysis by studyi ng variants of the model with more general linear terms.