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.
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}
}
Comments
16 pages pdf