Shock Structures and Velocity Fluctuations in the Noisy Burgers and KdV-Burgers Equations

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    Abstract

    Statistical properties of the noisy Burgers and KdV-Burgers equations are numerically studied. It is found that shock-like structures appear in the time-averaged patterns for the case of stepwise fixed boundary conditions. Our results show that the shock structure for the noisy KdV-Burgers equation has an oscillating tail, even for the time-averaged pattern. Also, we find that the width of the shock and the intensity of the velocity fluctuations in the shock region increase with system size.

    Original languageEnglish
    Pages (from-to)187-194
    Number of pages8
    JournalProgress of Theoretical Physics
    Volume110
    Issue number2
    DOIs
    Publication statusPublished - Aug 2003

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy (miscellaneous)

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