Reaction front propagation in a turbulent flow

The large-scale dynamics of a reaction front in a turbulent flow in the limit of large Reynolds number has been studied starting from the Kolmogorov-Petrovskii-Piskunov equation, modified by the random convection term. Random velocity has been assumed to be a homogeneous Gaussian field with Kolmogorov energy spectrum and infrared divergence. An upper bound for the position and speed of the reaction front in the long-time, large-distance limit has been derived by the method of random characteristics and a renormalization procedure. It has been shown that the infrared divergence of the random velocity field leads to the acceleration of a coarse-grained reaction front.