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