Local models and large scale statistics of the kuramoto-sivashinsky equation

Juan Elezgaray, Gal Berkooz, Harry Dankowicz, Philip Holmes, Mark Myers

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationWavelet Analysis and Its Applications
PublisherElsevier Inc.
Pages441-471
Number of pages31
EditionC
DOIs
StatePublished - 1997
Externally publishedYes

Publication series

NameWavelet Analysis and Its Applications
NumberC
Volume6
ISSN (Print)1874-608X

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering

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