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Brownian fluctuations of flame fronts with small random advection. (arXiv:1810.06161v1 [math.AP])
来源于:arXiv
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. 查看全文>>