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• W1488049121 startingPage "1395" @default.
• W1488049121 abstract "A Lagrangian method is used to show that the power law with a -7/2 exponent in the negative tail of the probability distribution function (PDF) of the velocity gradient and of velocity increments, predicted by E et al. [Phys. Rev. Lett. 78, 1904 (1997)] for forced Burgers turbulence, is also present in the unforced case. The theory is extended to the second-order space derivative whose PDF has power-law tails with exponent -2 at both large positive and negative values and to the time derivatives. PDF's of space and time derivatives have the same (asymptotic) functional forms. This is interpreted in terms of a random Taylor hypothesis." @default.
• W1488049121 created "2016-06-24" @default.
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• W1488049121 date "2000-02-01" @default.
• W1488049121 modified "2023-10-02" @default.
• W1488049121 title "Probability distribution functions of derivatives and increments for decaying Burgers turbulence" @default.
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• W1488049121 doi "https://doi.org/10.1103/physreve.61.1395" @default.
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