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arXiv · 1104.5048

Shock statistics in higher-dimensional Burgers turbulence

Pierre Le Doussal·Alberto Rosso·Kay Jörg Wiese
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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, shocks sizes and locations are uncorrelated.

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Pierre Le Doussal, Alberto Rosso, Kay Jörg Wiese. 2011-04-26. Shock statistics in higher-dimensional Burgers turbulence. https://doi.org/10.1209/0295-5075%2F96%2F14005

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