Issue |
EPL
Volume 96, Number 1, October 2011
|
|
---|---|---|
Article Number | 14005 | |
Number of page(s) | 5 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/96/14005 | |
Published online | 20 September 2011 |
Shock statistics in higher-dimensional Burgers turbulence
1
CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure - 24 rue Lhomond, 75005 Paris, France, EU
2
Laboratoire de Physique Théorique et Modèles Statistiques, CNRS (UMR 8626), Université Paris-Sud Bât. 100, 91405 Orsay Cedex, France, EU
a
alberto.rosso@lptms.u-psud.fr
Received:
28
May
2011
Accepted:
18
August
2011
We conjecture the exact shock statistics in the inviscid decaying Burgers equation in D>1 dimensions, with a special class of correlated initial velocities, which reduce to Brownian for D=1. The prediction is based on a field theory argument, and receives support from our numerical calculations. We find that, along any given direction, shock sizes and locations are uncorrelated.
PACS: 47.10.A- – Mathematical formulations / 47.40.Ki – Supersonic and hypersonic flows / 47.27.eb – Statistical theories and models
© EPLA, 2011
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