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arXiv · 1909.11475

Scaling limits and homogenization of mixing Hamilton-Jacobi equations

Benjamin Seeger
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Abstract

We study the homogenization of nonlinear, first-order equations with highly oscillatory mixing spatio-temporal dependence. It is shown in a variety of settings that the homogenized equations are stochastic Hamilton-Jacobi equations with deterministic, spatially homogenous Hamiltonians driven by white noise in time. The paper also contains proofs of some general regularity and path stability results for stochastic Hamilton-Jacobi equations, which are needed to prove some of the homogenization results and are of independent interest.

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Benjamin Seeger. 2019-09-25. Scaling limits and homogenization of mixing Hamilton-Jacobi equations. https://arxiv.org/abs/1909.11475

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