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18 Will-be-set-by-IN-TECH

the observed values, this is not the case for the results of the three dimensional description, mainly because it does not assume turbulence to be homogeneous. Moreover the solution of the advection diffusion equation discussed here is more general than shown in the present context, so that a wider range of applications is possible. Especially other assumptions for the velocity field and the diffusion matrix are possible. In a future work we will focus on a variety of applications and introduce a rigorous proof of convergence from a mathematical point of

The authors thank Brazilian CNPq and FAPERGS for the partial financial support of this work.

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**Acknowledgements**

Marco Túllio Vilhena and Bardo Bodmann

*Institute ISAC, National Research Council, Lecce, Italy*

*Federal University of Pelotas, Pelotas, RS, Brazil*

**Author details**

Umberto Rizza

Daniela Buske

**8. References**

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