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- W3104420722 abstract "Abstract We study the homogenization of a Hamilton-Jacobi equation forced by rapidly oscillating noise that is colored in space and white in time. It is shown that the homogenized equation is deterministic, and, in general, the noise has an enhancement effect, for which we provide a quantitative estimate. As an application, we perform a noise sensitivity analysis for Hamilton-Jacobi equations forced by a noise term with small amplitude, and identify the scaling at which the macroscopic enhancement effect is felt. The results depend on new, probabilistic estimates for the large scale Holder regularity of the solutions, which are of independent interest." @default.
- W3104420722 created "2020-11-23" @default.
- W3104420722 creator A5028342301 @default.
- W3104420722 date "2021-07-01" @default.
- W3104420722 modified "2023-09-30" @default.
- W3104420722 title "Homogenization of a stochastically forced Hamilton-Jacobi equation" @default.
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- W3104420722 doi "https://doi.org/10.1016/j.anihpc.2020.11.001" @default.
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