Global existence and long term behavior of 2d electro-hydrodynamics

Details Global existence and long term behavior of 2d electro-hydrodynamics Global existence and long term behavior of 2d electro-hydrodynamics

2008-10-12

arxiv.org/abs/0810.2064v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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