Effective viscosity and time correlation for the Kuramoto-Sivashinsky equation

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    4 Citations (Scopus)


    A shock-like structure appears in a time-averaged pattern produced by the Kuramoto-Sivashinsky equation and the noisy Burgers equation with fixed boundary conditions. We show that the effective viscosity computed from the width of the time-averaged shock structure is consistent with that computed from the time correlation of the fluctuations. The effective viscosity depends on the lengthscale, although our system size is not sufficiently large to satisfy the asymptotic dynamic scaling law. We attempt to determine the effective viscosity in a finite size system with the projection operator method.

    Original languageEnglish
    Pages (from-to)879-887
    Number of pages9
    JournalProgress of Theoretical Physics
    Issue number5
    Publication statusPublished - May 2002

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy (miscellaneous)


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