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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.15805 |
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| _version_ | 1866910024997011456 |
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| author | Sznitman, Alain-Sol Widmayer, Klaus |
| author_facet | Sznitman, Alain-Sol Widmayer, Klaus |
| contents | In this article we consider a stationary $N$-dimensional Galerkin-Navier-Stokes type evolution with Brownian forcing and random stirring (of arbitrarily small strength). We show that the stationary diffusion in an open two-dimensional cone constructed in a companion article, stands as the inviscid limit of the laws of the ``enstrophy-energy'' process of the $N$-dimensional diffusion process considered here, this regardless of the strength of the stirring. With the help of the quantitative condensation bounds of the companion article, we infer quantitative inviscid condensation bounds, which for suitable forcings show an attrition of all but the lowest modes in the inviscid limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15805 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inviscid limit and an effective energy-enstrophy diffusion process Sznitman, Alain-Sol Widmayer, Klaus Probability Mathematical Physics Analysis of PDEs 60J60, 76M35 In this article we consider a stationary $N$-dimensional Galerkin-Navier-Stokes type evolution with Brownian forcing and random stirring (of arbitrarily small strength). We show that the stationary diffusion in an open two-dimensional cone constructed in a companion article, stands as the inviscid limit of the laws of the ``enstrophy-energy'' process of the $N$-dimensional diffusion process considered here, this regardless of the strength of the stirring. With the help of the quantitative condensation bounds of the companion article, we infer quantitative inviscid condensation bounds, which for suitable forcings show an attrition of all but the lowest modes in the inviscid limit. |
| title | Inviscid limit and an effective energy-enstrophy diffusion process |
| topic | Probability Mathematical Physics Analysis of PDEs 60J60, 76M35 |
| url | https://arxiv.org/abs/2602.15805 |