Scaling and Exotic Regimes in Decaying Burgers Turbulence

Denis Bernard; Krzysztof Gawedzki

doi:10.1088/0305-4470/31/44/003

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arXiv · chao-dyn/9805002

Scaling and Exotic Regimes in Decaying Burgers Turbulence

Denis Bernard·Krzysztof Gawedzki

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Abstract

We analyze the stochastic scaling laws arising in the invicid limit of the decaying solutions of the Burgers equation. The linear scaling of the velocity structure functions is shown to reflect the domination by shocks of the long-time asymptotics. We exhibit new self-similar statistics of solutions describing phases with diluted shocks. Some speculations are included on the nature of systems whose large time behavior is described by the new statistics.

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Denis Bernard, Krzysztof Gawedzki. 1998-05-04. Scaling and Exotic Regimes in Decaying Burgers Turbulence. https://doi.org/10.1088/0305-4470%2F31%2F44%2F003

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