%0 Journal Article
%T Well-posedness for the Euler-Nernst-Planck-Possion system in Besov spaces
%A Zeng Zhang
%A Zhaoyang Yin
%J Mathematics
%D 2014
%I arXiv
%X In this paper, we mainly study the Cauchy problem of the Euler-Nernst-Planck-Possion ($ENPP$) system. We first establish local well-posedness for the Cauchy problem of the $ENPP$ system in Besov spaces. Then we present a blow-up criterion of solutions to the $ENPP$ system. Moreover, we prove that the solutions of the Navier-Stokes-Nernst-Planck-Possion system converge to the solutions of the $ENPP$ system as the viscosity $\nu$ goes to zero, and that the convergence rate is at least of order ${\nu}^\frac{1}{2}$.
%U http://arxiv.org/abs/1406.3694v1