论文标题
随机汉堡方程的Kolmogorov 4/5 Law的弱版本
Weak and strong versions of the Kolmogorov 4/5-law for stochastic Burgers equation
论文作者
论文摘要
对于空间周期性随机1D汉堡方程的溶液，我们建立了两个版本的Kolmogorov 4/5-Law，该版本为湍流速度场增量的第三矩提供了渐近膨胀。我们还为这个方程式证明了兰道对科尔莫戈罗夫湍流理论可能普遍性的反对，并表明第三刻是唯一接受普遍渐近扩张的人。
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law which 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.
