Passive Advection and the Degenerate Elliptic Operators $M_n$
Mathematical Physics
2009-11-07 v1 Analysis of PDEs
math.MP
Abstract
We prove estimates for the stationary state -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 that occur in the Hopf equations for the -point functions.
Keywords
Cite
@article{arxiv.math-ph/0210001,
title = {Passive Advection and the Degenerate Elliptic Operators $M_n$},
author = {Ville Hakulinen},
journal= {arXiv preprint arXiv:math-ph/0210001},
year = {2009}
}
Comments
52 pages