Brownian fluctuations of flame fronts with small random advection
Analysis of PDEs
2020-06-30 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1810.06161,
title = {Brownian fluctuations of flame fronts with small random advection},
author = {Christopher Henderson and Panagiotis E. Souganidis},
journal= {arXiv preprint arXiv:1810.06161},
year = {2020}
}
Comments
28 pages, 1 figure, updated with to-be-published version