Global well-posedness for Euler-Nernst-Planck-Possion system in dimension two

Zeng Zhang; Zhaoyang Yin

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arXiv · 1407.2344

Global well-posedness for Euler-Nernst-Planck-Possion system in dimension two

Zeng Zhang·Zhaoyang Yin

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Abstract

In this paper, we study the Cauchy problem of the Euler-Nernst-Planck-Possion system. We obtain global well-posedness for the system in dimension $d=2$ for any initial data in $H^{s_1}(\mathbb{R}^2)\times H^{s_2}(\mathbb{R}^2)\times H^{s_2}(\mathbb{R}^2)$ under certain conditions of $s_1$ and $s_2$.

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Zeng Zhang, Zhaoyang Yin. 2014-07-09. Global well-posedness for Euler-Nernst-Planck-Possion system in dimension two. https://arxiv.org/abs/1407.2344

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