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

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 $s_2$.

arXiv admin note: substantial text overlap with arXiv:1406.3694