Attractors for the Navier--Stokes--Voight equations and their dimension
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910894815969280 |
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| author | Ilyin, Alexei Zelik, Sergey |
| author_facet | Ilyin, Alexei Zelik, Sergey |
| contents | The Voight regularization of the Navier--Stokes system is studied in a bounded domain and on the torus. In the 3D case we obtain new explicit bounds for the attractor dimension improving the previously known results. In the 2D case we show that the estimates so obtained converge to the known estimates for the attractor of the Navier--Stokes system as the regularization parameter tends to zero both for the Dirichlet and the periodic boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Attractors for the Navier--Stokes--Voight equations and their dimension Ilyin, Alexei Zelik, Sergey Analysis of PDEs 35Q30, 35b41, 37l30 The Voight regularization of the Navier--Stokes system is studied in a bounded domain and on the torus. In the 3D case we obtain new explicit bounds for the attractor dimension improving the previously known results. In the 2D case we show that the estimates so obtained converge to the known estimates for the attractor of the Navier--Stokes system as the regularization parameter tends to zero both for the Dirichlet and the periodic boundary conditions. |
| title | Attractors for the Navier--Stokes--Voight equations and their dimension |
| topic | Analysis of PDEs 35Q30, 35b41, 37l30 |
| url | https://arxiv.org/abs/2503.20760 |