dorsal/arxiv
View SchemaInstability patterns, wakes and topological limnit sets
| Authors | R. M. Kiehn |
|---|---|
| Categories | |
| ArXiv ID | physics/0102005 |
| URL | https://arxiv.org/abs/physics/0102005 |
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.
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"abstract": "Many hydrodynamic instability patterns can be put into correspondence with a\nsubset of characteristic surfaces of tangential discontinuities. These\ntopological limits sets to systems of hyperbolic PDE\u0027s are locally unstable,\nbut a certain subset associated with minimal surfaces are globally stabilized,\npersistent and non-dissipative. Sections of these surfaces are the spiral\nscrolls so often observed in hydrodynamic wakes. This method of wake production\ndoes not depend explicitly upon viscosity.",
"arxiv_id": "physics/0102005",
"authors": [
"R. M. Kiehn"
],
"categories": [
"physics.flu-dyn"
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"title": "Instability patterns, wakes and topological limnit sets",
"url": "https://arxiv.org/abs/physics/0102005"
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