This thesis demonstrates how the geometric connection between the integrable Heisenberg spin equation, the nonlinear Schr??dinger equation and fluid flows with constant velocity magnitude along individual streamlines may be exploited. Specifically, we are able to construct explicitly the complete class of constant speed flows where the constant pressure surfaces constitute surfaces of revolution. This class is undoubtedly important as it contains many of the specific cases discussed earlier by other authors.
| Identifer | oai:union.ndltd.org:ADTP/212685 |
| Date | January 2004 |
| Creators | Grice, Glenn Noel, Mathematics, UNSW |
| Publisher | Awarded by:University of New South Wales. Mathematics |
| Source Sets | Australiasian Digital Theses Program |
| Language | English |
| Detected Language | English |
| Rights | Copyright Glenn Noel Grice, http://unsworks.unsw.edu.au/copyright |
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