Passive Advection and the Degenerate Elliptic Operators $M_n$

Abstract

We prove estimates for the stationary state $n$-point functions at zero molecular diffusivity in the Kraichnan model. This is done by proving upper bounds for the heat kernels and Green's functions of the degenerate elliptic operators $M_n$ that occur in the Hopf equations for the $n$-point functions.

52 pages

Cited by in corpus (6)

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• Anomalous Regularization in Kraichnan's Passive Scalar Model
• Heat equilibrium distribution in a turbulent flow