Stable superfluid vortex filament structures in laminar boundary layer flow of helium II

We show that in laminar boundary layer flow of superfluid helium II, with t he normal fluid having a Blasius profile and the superfluid a constant velo city profile, that there can exist superfluid vortex filament configuration s that have a steady shape and do not dissipate even at nonzero temperature s. We describe the parameter ranges within which these vortex structures ar e stable. The vortex structures transfer the kinetic energy of the normal f luid away from the boundary, and thus may cause instability in the normal f luid boundary layer.