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Richardson dispersion and anomalous dissipation for the random velocity model with controlled sweeping

Charles Fefferman, Svitlana Mayboroda

math.AParXiv:2611.07694

Abstract

The present paper establishes the Richardson dispersion law, predicting the particle separation with time according to Rt2 t3, as well as anomalous dissipation for the associated tracer, for a random Hölder continuous velocity vectorfield with controlled sweeping.

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