Global existence and long term behavior of 2d electro-hydrodynamics
Analysis of PDEs
2008-10-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0810.2064,
title = {Global existence and long term behavior of 2d electro-hydrodynamics},
author = {Rolf J. Ryham},
journal= {arXiv preprint arXiv:0810.2064},
year = {2008}
}