On the random G equation with nonzero divergence

William Cooperman

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arXiv · 2204.04124

On the random G equation with nonzero divergence

William Cooperman

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Abstract

We prove a quantitative rate of homogenization for the G equation in a random setting with finite range of dependence and nonzero divergence, with explicit dependence of the constants on the Lipschitz norm of the environment. Inspired by work of Burago, Ivanov, and Novikov, the proof uses explicit bounds on the waiting time for the associated metric problem.

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William Cooperman. 2022-04-08. On the random G equation with nonzero divergence. https://arxiv.org/abs/2204.04124

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