Probability distribution functions for the random forced burgers equation

E. Weinan; Konstantin Khanin; Alexandre Mazel; Yakov Sinai

doi:10.1103/PhysRevLett.78.1904

Probability distribution functions for the random forced burgers equation

E. Weinan, Konstantin Khanin, Alexandre Mazel, Yakov Sinai

Research output: Contribution to journal › Article › peer-review

126 Scopus citations

Abstract

We propose a new approach for the analysis of stationary correlation functions of the 1D Burgers equation driven by a random force. We use this to study the asymptotic behavior of the probability distribution of velocity gradients and velocity increments.

Original language	English (US)
Pages (from-to)	1904-1907
Number of pages	4
Journal	Physical review letters
Volume	78
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevLett.78.1904
State	Published - 1997

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.78.1904

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title = "Probability distribution functions for the random forced burgers equation",

abstract = "We propose a new approach for the analysis of stationary correlation functions of the 1D Burgers equation driven by a random force. We use this to study the asymptotic behavior of the probability distribution of velocity gradients and velocity increments.",

author = "E. Weinan and Konstantin Khanin and Alexandre Mazel and Yakov Sinai",

year = "1997",

doi = "10.1103/PhysRevLett.78.1904",

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AU - Weinan, E.

AU - Khanin, Konstantin

AU - Mazel, Alexandre

AU - Sinai, Yakov

PY - 1997

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N2 - We propose a new approach for the analysis of stationary correlation functions of the 1D Burgers equation driven by a random force. We use this to study the asymptotic behavior of the probability distribution of velocity gradients and velocity increments.

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DO - 10.1103/PhysRevLett.78.1904

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SP - 1904

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JO - Physical review letters

JF - Physical review letters

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Probability distribution functions for the random forced burgers equation

Abstract

All Science Journal Classification (ASJC) codes

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