um... I know most flow equation solutions prefer boundary flows. That's because inter-particle interactions and velocities are lowest and that means that's the lowest energy solution. What you say makes sense, but why would the boundary velocity be zero? That assumes a particular boundary condition that does not appear to apply if, say, the surface is approximately frictionless... I think a discontinuity in the velocity is allowed at the boundary since this is a interface between two different materials... isn't fluid flow a second order differential equation? So you really only need continuity on the second order derivative, and velocity is the first order derivative...
Am I completely off base here? My memory isn't that great and I never really took fluid mechanics...