English

Instability patterns, wakes and topological limnit sets

Fluid Dynamics 2007-05-23 v1

Abstract

Many hydrodynamic instability patterns can be put into correspondence with a subset of characteristic surfaces of tangential discontinuities. These topological limits sets to systems of hyperbolic PDE's are locally unstable, but a certain subset associated with minimal surfaces are globally stabilized, persistent and non-dissipative. Sections of these surfaces are the spiral scrolls so often observed in hydrodynamic wakes. This method of wake production does not depend explicitly upon viscosity.

Keywords

Cite

@article{arxiv.physics/0102005,
  title  = {Instability patterns, wakes and topological limnit sets},
  author = {R. M. Kiehn},
  journal= {arXiv preprint arXiv:physics/0102005},
  year   = {2007}
}

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16 pages pdf