On persistence of spatial analyticity in the hyper-dissipative Navier-Stokes models
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913702535495680 |
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| author | Farhat, Aseel Grujic, Zoran |
| author_facet | Farhat, Aseel Grujic, Zoran |
| contents | The goal of this note is to demonstrate that as soon as the hyper-diffusion exponent is greater than one, a class of finite time blow-up scenarios consistent with the analytic structure of the flow (prior to the possible blow-up time) can be ruled out. The argument is self-contained, in spirit of the regularity theory of the hyper-dissipative Navier-Stokes system in turbulent regime developed by Grujic and Xu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14320 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On persistence of spatial analyticity in the hyper-dissipative Navier-Stokes models Farhat, Aseel Grujic, Zoran Analysis of PDEs The goal of this note is to demonstrate that as soon as the hyper-diffusion exponent is greater than one, a class of finite time blow-up scenarios consistent with the analytic structure of the flow (prior to the possible blow-up time) can be ruled out. The argument is self-contained, in spirit of the regularity theory of the hyper-dissipative Navier-Stokes system in turbulent regime developed by Grujic and Xu. |
| title | On persistence of spatial analyticity in the hyper-dissipative Navier-Stokes models |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2312.14320 |