Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation

被引：0
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作者：
Peng Gao
Sergei Kuksin
机构：
[1] Northeast Normal University,School of Mathematics and Statistics, and Center for Mathematicsand Interdisciplinary Sciences
[2] Peoples’ Friendship University of Russia (RUDN University),undefined
[3] Université Paris Cité and Sorbonne Université,undefined
[4] CNRS,undefined
[5] IMJ-PRG,undefined
来源：
Archive for Rational Mechanics and Analysis | 2023年 / 247卷
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摘要：
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law; this provides an asymptotic expansion for the third moment of increments of turbulent velocity fields. We also prove for this equation an analogy of the Landau objection to possible universality of Kolmogorov’s theory of turbulence, and show that the third moment is the only one which admits a universal asymptotic expansion.
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