Quantitative stochastic homogenization of the G equation
Analysis of PDEs
2021-11-12 v2
Abstract
We prove a quantitative rate of homogenization for the G equation in a random environment with finite range of dependence. Using ideas from percolation theory, the proof bootstraps a result of Cardaliaguet and Souganidis, who proved qualitative homogenization in a more general ergodic environment.
Keywords
Cite
@article{arxiv.2111.05221,
title = {Quantitative stochastic homogenization of the G equation},
author = {William Cooperman},
journal= {arXiv preprint arXiv:2111.05221},
year = {2021}
}
Comments
17 pages, 1 figure, comments welcome! (fixed typos)