We study the effect of small random advection in two models in turbulent combustion. Assuming that the velocity field decorrelates sufficiently fast, we (i) identify the order of the fluctuations of the front with respect to the size of the advection; and (ii) characterize them by the solution of a Hamilton–Jacobi equation forced by white noise. In the simplest case, the result yields, for both models, a front with Brownian fluctuations of the same scale as the size of the advection. That the fluctuations are the same for both models is somewhat surprising, in view of known differences between the two models.

中文翻译：

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小随机平流火焰锋的布朗波动

我们研究了湍流燃烧中两个模型中小随机平流的影响。假设速度场去相关足够快，我们（i）确定锋面波动相对于平流大小的顺序；(ii) 通过白噪声强制的 Hamilton-Jacobi 方程的解来表征它们。在最简单的情况下，两个模型的结果都产生了一个具有与平流大小相同规模的布朗波动的锋面。鉴于两种模型之间的已知差异，两种模型的波动相同，这有点令人惊讶。