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arXiv · 2607.16677

Large deviation principles for multiscale stochastic Burgers equations with reflection

Huijie Qiao
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Abstract

This study investigates multiscale stochastic Burgers equations with reflection, wherein the slow component is modeled by a stochastic Burgers equation with reflection and the fast component by a stochastic reaction-diffusion equation with reflection. Using the weak convergence approach, we rigorously establish a large deviation principle for the slow component. Key technical tools include the penalization method, carefully constructed stopping times, and a refined adaptation of Khasminskii's classical time discretization scheme.

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Huijie Qiao. 2026-07-18. Large deviation principles for multiscale stochastic Burgers equations with reflection. https://arxiv.org/abs/2607.16677

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