Quasi-neutral limit of Nernst-Planck-Navier-Stokes system
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914659007725568 |
|---|---|
| author | Zhang, Ping Zhang, Yibin |
| author_facet | Zhang, Ping Zhang, Yibin |
| contents | In this paper, we investigate the quasi-neutral limit of Nernst-Planck-Navier-Stokes system in a smooth bounded domain $Ω$ of $\mathbb{R}^d$ for $d=2,3,$ with ``electroneutral boundary conditions" and well-prepared data. We first prove by using modulated energy estimate that the solution sequence converges to the limit system in the norm of $L^\infty((0,T);L^2(Ω))$ for some positive time $T.$ In order to justify the limit in a stronger norm, we need to construct both the initial layers and weak boundary layers in the approximate solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16680 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-neutral limit of Nernst-Planck-Navier-Stokes system Zhang, Ping Zhang, Yibin Analysis of PDEs 82C21, 82D15, 35Q92 In this paper, we investigate the quasi-neutral limit of Nernst-Planck-Navier-Stokes system in a smooth bounded domain $Ω$ of $\mathbb{R}^d$ for $d=2,3,$ with ``electroneutral boundary conditions" and well-prepared data. We first prove by using modulated energy estimate that the solution sequence converges to the limit system in the norm of $L^\infty((0,T);L^2(Ω))$ for some positive time $T.$ In order to justify the limit in a stronger norm, we need to construct both the initial layers and weak boundary layers in the approximate solutions. |
| title | Quasi-neutral limit of Nernst-Planck-Navier-Stokes system |
| topic | Analysis of PDEs 82C21, 82D15, 35Q92 |
| url | https://arxiv.org/abs/2401.16680 |