Brownian fluctuations of flame fronts with small random advection
AffiliationUniv Arizona, Dept Math
Hamilton Jacobi equations
MetadataShow full item record
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
CitationHenderson, C., & Souganidis, P. E. (2020). Brownian fluctuations of flame fronts with small random advection. Mathematical Models and Methods in Applied Sciences, 1-32.
RightsCopyright © World Scientific Publishing Company
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AbstractWe 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.
Note12 month embargo; published online: 10 June 2020
VersionFinal accepted manuscript