Global existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes system in high space dimensions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911366484328448 |
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| author | Xu, Xiangsheng |
| author_facet | Xu, Xiangsheng |
| contents | We study the existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes (NPNS) system in $\mathbb{R}^N, N\geq 3$. The system describes the electrodiffusion of ions in a viscous Newtonian fluid. A strong solution is obtained in any dimension of space without constraints on the number of species or the size of the given data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16433 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes system in high space dimensions Xu, Xiangsheng Analysis of PDEs We study the existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes (NPNS) system in $\mathbb{R}^N, N\geq 3$. The system describes the electrodiffusion of ions in a viscous Newtonian fluid. A strong solution is obtained in any dimension of space without constraints on the number of species or the size of the given data. |
| title | Global existence of a strong solution to the initial value problem for the Nernst-Planck-Navier-Stokes system in high space dimensions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.16433 |