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arXiv · 2604.07528

Coarse-graining and quantitative stochastic homogenization of parabolic equations in high contrast

Aidan Lau
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Abstract

We prove quantitative homogenization results for high contrast parabolic equations with random coefficients depending on both space and time. In particular, we prove that under a sufficient decorrelation assumption the homogenization length scale is bounded by $\exp(C\log^2(1+\Lambda/\lambda)) + C\sqrt{\lambda}$. The proof is based on a parabolic coarse-graining framework which generalizes the results of Armstrong and Kuusi in the elliptic setting.

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Aidan Lau. 2026-04-08. Coarse-graining and quantitative stochastic homogenization of parabolic equations in high contrast. https://arxiv.org/abs/2604.07528

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