Shock structures in time-averaged patterns for the Kuramoto-Sivashinsky equation

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    The time-averaged patterns of spatiotemporal chaos of Kuramoto-Sivashinsky equation were numerically studied. The equation was found to have fixed boundary conditions with a variable parameter (U). The averaged pattern was nearly zero if U was smaller than a critical value. If U was larger than a critical value, stationary shock patterns with oscillating tails appeared due to absolute stability between the critical values. The time averaged pattern was approximated with shock solution of Burgers equation and effective diffusion constant was calculated. The relation of width and height of shock structures was used in this estimation.

    Original languageEnglish
    Pages (from-to)8817-8819
    Number of pages3
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Issue number6 B
    Publication statusPublished - Dec 2000

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics


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