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 |
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Pages (from-to) | 187-194 |
Number of pages | 8 |
Journal | Progress of Theoretical Physics |
Volume | 110 |
Issue number | 2 |
DOIs | |
Publication status | Published - Aug 2003 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)