Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type Spectra
Albert C. Fannjiang
Abstract
We prove limit theorems for small-scale pair dispersion in velocity fields with power-law spatial spectra and wave-number dependent correlation times. This result establishes rigorously a family of generalized Richardson's laws with a limiting case corresponding to Richardson's t3 and 4/3-laws.
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