Charge Transport in an Incompressible Fluid: New Devices in Computational
By: Joseph W. Jerome
A model for electro-diffusion is discussed, characterized by
the Navier-Stokes/Poisson-Nernst-Planck system. In particular,
we emphasize: (i) significant applications; (ii) existence for the
initial/boundary-value problem; (iii) aspects of the steady problem.
This article has appeared in the proceedings of the IMA summer
workshop (2009) on nonlinear conservation laws. The article summarizes the
author's invited address in July, 2009. The exact reference is:
Nonlinear Conservation Laws and Applications (A. Bressan, G.-Q. G. Chen,
M. Lewicka, and D. Wang, Eds.), IMA vol. 153, Springer, 2011, pp.