Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929397237284864 |
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| author | Chen, Yunfeng Peng, Xuhui Zhai, Jianliang |
| author_facet | Chen, Yunfeng Peng, Xuhui Zhai, Jianliang |
| contents | In this paper, we establish a large deviation principle for 2D stochastic Chemotaxis-Navier-Stokes equation perturbed by a small multiplicative noise. The main difficulties come from the lack of a suitable compact embedding into the space occupied by the solutions and the inherent complexity of equation. Finite dimensional projection arguments and introducing suitable stopping times play important roles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System Chen, Yunfeng Peng, Xuhui Zhai, Jianliang Probability In this paper, we establish a large deviation principle for 2D stochastic Chemotaxis-Navier-Stokes equation perturbed by a small multiplicative noise. The main difficulties come from the lack of a suitable compact embedding into the space occupied by the solutions and the inherent complexity of equation. Finite dimensional projection arguments and introducing suitable stopping times play important roles. |
| title | Large deviations for 2D Stochastic Chemotaxis-Navier-Stokes System |
| topic | Probability |
| url | https://arxiv.org/abs/2406.16262 |