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

Hidetsugu Sakaguchi

doi:10.1143/PTP.110.187

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

Hidetsugu Sakaguchi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	187-194
Number of pages	8
Journal	Progress of Theoretical Physics
Volume	110
Issue number	2
DOIs	https://doi.org/10.1143/PTP.110.187
Publication status	Published - Aug 2003

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1143/PTP.110.187

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title = "Shock Structures and Velocity Fluctuations in the Noisy Burgers and KdV-Burgers Equations",

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.",

author = "Hidetsugu Sakaguchi",

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AB - 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.

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