On invariant manifolds attached to oscillating boundaries in Stokes flows.

@article{Yuster1997OnIM,
title={On invariant manifolds attached to oscillating boundaries in Stokes flows.},
author={T. Yuster and William W. Hackborn},
journal={Chaos},
year={1997},
volume={7 4},
pages={769-776}
}

Consider a steady Stokes flow bounded by a flat wall to which a separatrix, not tangent to the wall, is attached at point S. If the wall is made to slowly oscillate periodically with small amplitude in a longitudinal direction, then the Poincare map associated with this perturbed flow has a fixed point on the wall near S with an invariant manifold. This result also holds for flows bounded by a cylindrical wall and flows in which the small periodic perturbation is not due to the oscillation of… CONTINUE READING