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arXiv · 1710.03648

Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$

N. V. Antonov·N. M. Gulitskiy·M. M. Kostenko·T. Lučivjanský
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Abstract

The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension $d=4$. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.

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N. V. Antonov, N. M. Gulitskiy, M. M. Kostenko, T. Lučivjanský. 2017-10-10. Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$. https://doi.org/10.1051/epjconf/201716407044

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