On Green's function of the vorticity formulation for the 3D Navier-Stokes equations
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917722272563200 |
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| author | Kukavica, Igor Wang, Fei Zhu, Yichun |
| author_facet | Kukavica, Igor Wang, Fei Zhu, Yichun |
| contents | We give a novel vorticity formulation for the 3D Navier-Stokes equations with Dirichlet boundary conditions. Via a resolvent argument, we obtain Green's function and establish an upper bound, which is the 3D analog of [24]. Moreover, we prove similar results for the corresponding Stokes problem with more general mixed boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Green's function of the vorticity formulation for the 3D Navier-Stokes equations Kukavica, Igor Wang, Fei Zhu, Yichun Analysis of PDEs We give a novel vorticity formulation for the 3D Navier-Stokes equations with Dirichlet boundary conditions. Via a resolvent argument, we obtain Green's function and establish an upper bound, which is the 3D analog of [24]. Moreover, we prove similar results for the corresponding Stokes problem with more general mixed boundary conditions. |
| title | On Green's function of the vorticity formulation for the 3D Navier-Stokes equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.10751 |