A universal law for tails of density pdf's in multi-dimensional Burgers turbulence

Details A universal law for tails of density pdf's in multi-dimensional Burgers turbulence A universal law for tails of density pdf's in multi-dimensional Burgers turbulence

2001-01-17

arxiv.org/abs/astro-ph/0101298v1

Advances in Turbulence VIII, C. Dopazo et al., eds., CIMNE, Barcelona, 2000

Astronomy and Astrophysics

Astrophysics

4 pages, 3 figures, Proceedings ETC-8, Barcelona, June 2000

Scientific paper

Extending work of E, Khanin, Mazel and Sinai (1997 PRL 78:1904-1907) on the one-dimensional Burgers equation, we show that density pdf's have universal power-law tails with exponent -7/2. This behavior stems from singularities, other than shocks, whose nature is quite different in one and several dimensions. We briefly discuss the possibility of detecting singularities of Navier-Stokes turbulence using pdf tails.

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