Passive Advection and the Degenerate Elliptic Operators Mn
Ville Hakulinen
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 Mn that occur in the Hopf equations for the n-point functions.
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