Shock statistics in higher-dimensional Burgers turbulence

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Published 20 September 2011 Europhysics Letters Association
, , Citation P. Le Doussal et al 2011 EPL 96 14005 DOI 10.1209/0295-5075/96/14005

0295-5075/96/1/14005

Abstract

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.

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10.1209/0295-5075/96/14005