Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.07181 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916732386410496 |
|---|---|
| author | Lv, Huaxiang Zhu, Yichun |
| author_facet | Lv, Huaxiang Zhu, Yichun |
| contents | We are concerned with the three dimensional navier-stokes equations driven by a general multiplicative noise. For every divergence free and mean free initial condition in L2, we establish existence of infinitely many global-in-time probabilistically strong and analytically weak solutions, which implies non-uniqueness in law. Moreover, we prove the existence of infinitely many ergodic stationary solutions. Our results are based on a stochastic version of the convex integration and the Ito calculus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07181 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonuniqueness in law of stochastic 3d navierstokes equations with general multiplicative noise Lv, Huaxiang Zhu, Yichun Probability We are concerned with the three dimensional navier-stokes equations driven by a general multiplicative noise. For every divergence free and mean free initial condition in L2, we establish existence of infinitely many global-in-time probabilistically strong and analytically weak solutions, which implies non-uniqueness in law. Moreover, we prove the existence of infinitely many ergodic stationary solutions. Our results are based on a stochastic version of the convex integration and the Ito calculus. |
| title | Nonuniqueness in law of stochastic 3d navierstokes equations with general multiplicative noise |
| topic | Probability |
| url | https://arxiv.org/abs/2505.07181 |