Stochastic broadening of shock front by low frequency noise

A stochastic broadening of plane shock front due to small-amplitude waves of random phase is considered. It is given by the root mean square of displacement of the shock front, which is replaced by a sharp discontinuity in the limit of infinitly small dissipation. It was found that at a large time the broadening is proportional to tsup(1/2), and mainly the spectrum of intensity of noise near ω = 0 contributes to the broadening. (author)