On the random G equation with nonzero divergence

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.

19 pages, 2 figures. comments welcome! arXiv admin note: substantial text overlap with arXiv:2111.05221