充分发展湍流的多重分形结构。
Multifractal structure of fully developed turbulence.
作者信息
Zybin K P, Sirota V A
机构信息
P. N. Lebedev Physical Institute, RAS, Leninskij Prospekt 53, Moscow 119991, Russia.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):043017. doi: 10.1103/PhysRevE.88.043017. Epub 2013 Oct 31.
PMID:24229286
Abstract
The appearance of vortex filaments, the power-law dependence of velocity and vorticity correlations and their multiscaling behavior are derived from the Navier-Stokes equation. This is possible due to interpretation of the Navier-Stokes equation as an equation with multiplicative noise and remarkable properties of random matrix products.
摘要
涡旋丝的出现、速度和涡度相关性的幂律依赖性及其多尺度行为是从纳维-斯托克斯方程推导出来的。这是可能的，因为将纳维-斯托克斯方程解释为具有乘性噪声的方程以及随机矩阵乘积的显著性质。
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