Abstract
The dynamics of the system described by Kuramoto-Sivashinsky equation (SKSE) is studied in this paper. The Lyapunov exponent of the SKSE fluctuates around at the value of 0. Then the two time correlation function (TTCF) for the SKSE is calculated and it is shown that the TTCF decays algebraically. Those results strongly suggest that the large deviation statistics do not hold on the SKSE.
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Shibata, H. (2003). Lyapunov Exponent of the System Described by Kuramoto-Sivashinsky Equation. In: Kaneda, Y., Gotoh, T. (eds) Statistical Theories and Computational Approaches to Turbulence. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67002-5_19
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DOI: https://doi.org/10.1007/978-4-431-67002-5_19
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