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Richardson's Laws for Relative Dispersion in Colored-Noise Flows with Kolmogorov-type Spectra


Speaker: Albert Fannjiang, UC Davis
Location: 593 Kerr
Start time: Thu, Oct 3 2002, 4:30PM

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 $t^3$ and $4/3$-laws.