Uniform large deviation principles and averaging principles for stochastic Burgers type equations with reflection
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913899947753472 |
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| author | Qiao, Huijie |
| author_facet | Qiao, Huijie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15443 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniform large deviation principles and averaging principles for stochastic Burgers type equations with reflection Qiao, Huijie Probability 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. |
| title | Uniform large deviation principles and averaging principles for stochastic Burgers type equations with reflection |
| topic | Probability |
| url | https://arxiv.org/abs/2506.15443 |