%0 Journal Article %T Global existence and long term behavior of 2d electro-hydrodynamics %A Rolf J. Ryham %J Mathematics %D 2008 %I arXiv %X We study the equations of a two dimensional incompressible Newtonian fluid coupled with a dispersive parabolic-elliptic system on bounded domains. Global in time weak solutions are shown to exist and converge with a rate to the stationary solution for L^2 initial data. This paper extends and improves on a body of work surrounding the Debye-Huckel system to the hydrodyanamical case. %U http://arxiv.org/abs/0810.2064v1