Moderate deviation principles for stochastic 2D hydrodynamics type systems with multiplicative Lévy noise
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929709647921152 |
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| author | Li, Yue Shang, Shijie |
| author_facet | Li, Yue Shang, Shijie |
| contents | In this paper, we establish a moderate deviation principle for an abstract nonlinear equation forced by random noise of Lévy type. This type of equation covers many hydrodynamical models, including stochastic 2D Navier-Stokes equations, stochastic 2D MHD equations, the stochastic 2D magnetic Bérnard problem, and also several stochastic shell models of turbulence. This paper gets rid of the compact embedding assumption on the associated Gelfand triple. The weak convergence method plays an important role. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moderate deviation principles for stochastic 2D hydrodynamics type systems with multiplicative Lévy noise Li, Yue Shang, Shijie Probability 60H15, 60F10, 60J75, 37L55 In this paper, we establish a moderate deviation principle for an abstract nonlinear equation forced by random noise of Lévy type. This type of equation covers many hydrodynamical models, including stochastic 2D Navier-Stokes equations, stochastic 2D MHD equations, the stochastic 2D magnetic Bérnard problem, and also several stochastic shell models of turbulence. This paper gets rid of the compact embedding assumption on the associated Gelfand triple. The weak convergence method plays an important role. |
| title | Moderate deviation principles for stochastic 2D hydrodynamics type systems with multiplicative Lévy noise |
| topic | Probability 60H15, 60F10, 60J75, 37L55 |
| url | https://arxiv.org/abs/2502.07137 |