@inbook{3737d8d51aef42708db2ddf0c6d4fdce,
title = "Local models and large scale statistics of the kuramoto-sivashinsky equation",
abstract = "We investigate the ability of local models of the one space dimensional Kuramoto-Sivashinsky (KS) equation, obtained either from 'local' wavelet projections or by projection on a small set of Fourier modes supported on a short subinterval, to reproduce coherent events typical of solutions of the same equation on a much longer interval. We also show that an effective equation preserving the statistics of the large scales of the KS equation can be obtained from a coarse-graining procedure based on the wavelet decomposition of the KS equation.",
author = "Juan Elezgaray and Gal Berkooz and Harry Dankowicz and Philip Holmes and Mark Myers",
note = "This work was partially supported by DoE Grant DE-FGO2-95ER25238 (PH) and NATO 92-0184. HD also thanks the Swedish Fullbright Commission and the Department of Mechanics at the Royal Institute of Technology in Stockholm, Sweden, for their support.",
year = "1997",
doi = "10.1016/S1874-608X(97)80013-1",
language = "English (US)",
series = "Wavelet Analysis and Its Applications",
publisher = "Elsevier Inc.",
number = "C",
pages = "441--471",
booktitle = "Wavelet Analysis and Its Applications",
edition = "C",
}