Volume 96, Number 1, October 2011
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||20 September 2011|
Shock statistics in higher-dimensional Burgers turbulence
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.