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

Hidetsugu Sakaguchi

    Research output: Contribution to journal › Article

    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

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    Burger equation
    shock
    boundary conditions

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy (miscellaneous)

    Cite this

    Shock Structures and Velocity Fluctuations in the Noisy Burgers and KdV-Burgers Equations. / Sakaguchi, Hidetsugu.

    In: Progress of Theoretical Physics, Vol. 110, No. 2, 08.2003, p. 187-194.

    Research output: Contribution to journal › Article

    Sakaguchi, H 2003, 'Shock Structures and Velocity Fluctuations in the Noisy Burgers and KdV-Burgers Equations', Progress of Theoretical Physics, vol. 110, no. 2, pp. 187-194. https://doi.org/10.1143/PTP.110.187
    Sakaguchi H. Shock Structures and Velocity Fluctuations in the Noisy Burgers and KdV-Burgers Equations. Progress of Theoretical Physics. 2003 Aug;110(2):187-194. https://doi.org/10.1143/PTP.110.187
    Sakaguchi, Hidetsugu. / Shock Structures and Velocity Fluctuations in the Noisy Burgers and KdV-Burgers Equations. In: Progress of Theoretical Physics. 2003 ; Vol. 110, No. 2. pp. 187-194.
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