Propagation of fronts in a turbulent medium is investigated in a regime where the interaction between front and turbulence is scale invariant. The relation governing the front velocity is determined exactly, including nonlinearities, as a two-parameter family, by imposing covariance by dilatation in functional space. It differs from usual power laws because scale interaction is nonlocal in scale space, in contrast with usual systems.
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Alain Pocheau (1994) studied this question.
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