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Award ID contains: 1900599

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  1. ; ; ; (, Journal of Functional Analysis)
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  2. ; ; ; (, SIAM Journal on Control and Optimization)
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  3. ; ; ; ; ; ; ; ; ; ; et al (, Notices of the American Mathematical Society)
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  4. ; (, Journal of Functional Analysis)
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  5. ; (, Nonlinear Differential Equations and Applications NoDEA)
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  6. ; (, Archive for Rational Mechanics and Analysis)
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  7. ; (, SIAM Journal on Mathematical Analysis)
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  8. ; ; (, Indiana University Mathematics Journal)
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  9. ; (, Mathematical Models and Methods in Applied Sciences)
    null (Ed.)
    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. 
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