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

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