Restoring the Navier--Stokes dynamics by determining functionals depending on pressure
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929244190277632 |
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| author | Ilyin, A. Kalantarov, V. Kostianko, A. Zelik, S. |
| author_facet | Ilyin, A. Kalantarov, V. Kostianko, A. Zelik, S. |
| contents | For 2D Navier--Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of $N$ linear continuous functionals which depend on pressure $p$ only and of one extra functional which is given by the value of vorticity at a fixed point $x_0\in\partialΩ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Restoring the Navier--Stokes dynamics by determining functionals depending on pressure Ilyin, A. Kalantarov, V. Kostianko, A. Zelik, S. Analysis of PDEs 35B40, 35B42, 37D10, 37L25 For 2D Navier--Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of $N$ linear continuous functionals which depend on pressure $p$ only and of one extra functional which is given by the value of vorticity at a fixed point $x_0\in\partialΩ$. |
| title | Restoring the Navier--Stokes dynamics by determining functionals depending on pressure |
| topic | Analysis of PDEs 35B40, 35B42, 37D10, 37L25 |
| url | https://arxiv.org/abs/2402.09566 |