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arXiv · 2401.16680

Quasi-neutral limit of Nernst-Planck-Navier-Stokes system

Ping Zhang·Yibin Zhang
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Abstract

In this paper, we investigate the quasi-neutral limit of Nernst-Planck-Navier-Stokes system in a smooth bounded domain $\Omega$ 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 $L^\infty((0,T);L^2(\Omega))$ 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.

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Ping Zhang, Yibin Zhang. 2024-01-30. Quasi-neutral limit of Nernst-Planck-Navier-Stokes system. https://arxiv.org/abs/2401.16680

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