Abstract
We prove that the passive scalar field in the Ornstein–Uhlenbeck velocity field with wave-number dependent correlation times converges, in the white-noise limit, to that of Kraichnan's model with higher spatial regularity.
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Fannjiang, A.C. Convergence of Passive Scalar Fields in Ornstein–Uhlenbeck Flows to Kraichnan's Model. Journal of Statistical Physics 114, 115–135 (2004). https://doi.org/10.1023/B:JOSS.0000003106.02538.ae
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DOI: https://doi.org/10.1023/B:JOSS.0000003106.02538.ae