Flow Representation of the Navier-Stokes Equations in Weighted Sobolev Spaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910704907321344 |
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| author | Sirisubtawee, Sekson Manitcharoen, Naowarat Saksurakan, Chukiat |
| author_facet | Sirisubtawee, Sekson Manitcharoen, Naowarat Saksurakan, Chukiat |
| contents | Using Constantin-Iyer representation also known more generally as Euler-Lagrangian approach, we prove the local existence of the Navier-Stokes equations in weighted Sobolev spaces with external forcing on $\mathbf{R}^{d}$, for any dimension $d$ and $p$ such that $p>d\geq2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flow Representation of the Navier-Stokes Equations in Weighted Sobolev Spaces Sirisubtawee, Sekson Manitcharoen, Naowarat Saksurakan, Chukiat Analysis of PDEs Using Constantin-Iyer representation also known more generally as Euler-Lagrangian approach, we prove the local existence of the Navier-Stokes equations in weighted Sobolev spaces with external forcing on $\mathbf{R}^{d}$, for any dimension $d$ and $p$ such that $p>d\geq2$. |
| title | Flow Representation of the Navier-Stokes Equations in Weighted Sobolev Spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.05241 |