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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2304.11798 |
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| _version_ | 1866909221316984832 |
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| author | Flandoli, Franco Luo, Dejun |
| author_facet | Flandoli, Franco Luo, Dejun |
| contents | We introduce a stochastic version of Proudman-Taylor model, a 2D-3C fluid approximation of the 3D Navier-Stokes equations, with the small-scale turbulence modeled by a transport-stretching noise. For this model we may rigorously take a scaling limit leading to a deterministic model with additional viscosity on large scales. In certain choice of noises without mirror symmetry, we identify an AKA effect. This is the first example with a 3D structure and a stretching noise term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_11798 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Boussinesq hypothesis for a stochastic Proudman-Taylor model Flandoli, Franco Luo, Dejun Probability We introduce a stochastic version of Proudman-Taylor model, a 2D-3C fluid approximation of the 3D Navier-Stokes equations, with the small-scale turbulence modeled by a transport-stretching noise. For this model we may rigorously take a scaling limit leading to a deterministic model with additional viscosity on large scales. In certain choice of noises without mirror symmetry, we identify an AKA effect. This is the first example with a 3D structure and a stretching noise term. |
| title | On the Boussinesq hypothesis for a stochastic Proudman-Taylor model |
| topic | Probability |
| url | https://arxiv.org/abs/2304.11798 |