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

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}$^2)$undercertainconditionsof$s_1$and$s_2$.