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arXiv:1411.0917 [math.AP]AbstractReferencesReviewsResources

Global well posedness for a two-fluid model

Yoshikazu Giga, Slim Ibrahim, Shengyi Shen, Tsuyoshi Yoneda

Published 2014-11-04Version 1

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.

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