Global well-posedness for the Euler–Nernst–Planck–Poisson system in dimension two

In this paper, we study the Cauchy problem of the Euler–Nernst–Planck–Poisson system. We obtain the global well-posedness for the system in dimension two for any initial data in Hs1(R2)×Hs2(R2)×Hs2(R2)Hs1(R2)×Hs2(R2)×Hs2(R2) under certain conditions of s1s1 and s2s2.