%0 Journal Article
%T Global well posedness for a two-fluid model
%A Yoshikazu Giga
%A Slim Ibrahim
%A Shengyi Shen
%A Tsuyoshi Yoneda
%J Mathematics
%D 2014
%I arXiv
%X We study a two fluid system which models the motion of a charged fluid. Local in time solutions of this system were proven by Giga-Yoshida (1984). In this paper, we improve this result in terms of requiring less regularity on the electromagnetic field. We also prove that small solutions are global in time.
%U http://arxiv.org/abs/1411.0917v1