Level-3 large deviations for the white-forced 2D Navier-Stokes system in a bounded domain
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916796685090816 |
|---|---|
| author | Zhao, Meng |
| author_facet | Zhao, Meng |
| contents | We study the large deviations principle (LDP) of Donsker-Varadhan type for the white-forced Navier-Stokes system in a bounded domain. Under the assumption that the noise is non-degenerate, we establish level-2 and level-3 LDPs with rate functions given by the Donsker-Varadhan formulas. The proof relies on an improved version of Kifer's criterion, a lift argument inspired from [DV83], an improved abstract result on the large-time asymptotics of generalized Markov semigroups, and a delicate approximation scheme utilizing the resolvent operators of the Markov semigroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14119 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Level-3 large deviations for the white-forced 2D Navier-Stokes system in a bounded domain Zhao, Meng Analysis of PDEs Probability We study the large deviations principle (LDP) of Donsker-Varadhan type for the white-forced Navier-Stokes system in a bounded domain. Under the assumption that the noise is non-degenerate, we establish level-2 and level-3 LDPs with rate functions given by the Donsker-Varadhan formulas. The proof relies on an improved version of Kifer's criterion, a lift argument inspired from [DV83], an improved abstract result on the large-time asymptotics of generalized Markov semigroups, and a delicate approximation scheme utilizing the resolvent operators of the Markov semigroup. |
| title | Level-3 large deviations for the white-forced 2D Navier-Stokes system in a bounded domain |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2506.14119 |