ABSTRACT:

I'll present a steady, volume-preserving, smooth vector field on a bounded domain of R^3 with no-slip boundary which is mixing. Furthermore, I claim it is C^3-structurally stable within the above class. I'll give two other types of construction too. An interesting feature of flows with no-slip boundaries is that they can not mix better than 1/t^2 with respect to transportation metric. Furthermore I suspect the displacement in a Z-cover does not behave like an advected diffusion.