Uniform large deviation principles and averaging principles for stochastic Burgers type equations with reflection

Huijie Qiao

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arXiv · 2506.15443

Uniform large deviation principles and averaging principles for stochastic Burgers type equations with reflection

Huijie Qiao

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Abstract

This work concerns about stochastic Burgers type equations with reflection. First of all, by means of the equicontinuous uniform Laplace principle, we prove the Freidlin-Wentzell uniform large deviation principle for these equations uniformly on bounded sets. Then based on this result, we establish the Dembo-Zeitouni uniform large deviation principle for these equations uniformly on compact sets. Finally, an averaging principle result for these equations is obtained through the time discretization approach.

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BibTeX RIS

Huijie Qiao. 2025-06-18. Uniform large deviation principles and averaging principles for stochastic Burgers type equations with reflection. https://arxiv.org/abs/2506.15443

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