  In this paper, we explore the effect of a finite surface charge mobility on
the interfacial transport: conductance, streaming currents, electro- and
diffusio-osmotic flows. We first show that the surface charge mobility modifies
the hydrodynamic boundary condition for the fluid, which introduces a
supplementary term depending on the applied electric field. In particular, the
resulting slip length is found to decrease inversely with the surface charge.
We then derive expressions for the various transport mobilities, high-lighting
that the surface charge mobility merely moderates the amplification effect of
interfacial slippage, to the noticeable exception of diffusio-osmosis and
surface conductance. Our calculations, obtained within Poisson-Boltzmann
framework, highlight the importance of non-linear electrostatic contributions
to predict the small concentration/large charge limiting regimes for the
transport mobilities. We discuss these predictions in the context of recent
electrokinetic experiments with carbon nanotubes.
