Convergence of Passive Scalars in Ornstein-Uhlenbeck Flows to Kraichnan's Model
classification
🧮 math-ph
math.MP
keywords
fieldkraichnanmodelornstein-uhlenbeckpassiveconvergenceconvergescorrelation
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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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