Evaluation of the time correlation function for the Kuramoto-Sivashinsky equation with a projection operator method

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Abstract

We evaluate the time correlation function for the Kuramoto-Sivashinsky (KS) equation with a projection operator method. For this purpose, the memory term is estimated separately using three methods of approximation: the Markov approximation, and the first- and infinite-order approximations of the memory term. Comparing the results obtained with these approximations and those obtained from numerical simulations, we have found that among the three approximations the first-order approximation yields the best results in the evaluation of the time correlation function.

Original languageEnglish
Pages (from-to)47-59
Number of pages13
JournalProgress of Theoretical Physics
Volume116
Issue number1
DOIs
Publication statusPublished - Jul 1 2006

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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