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Constant speed flows and the nonlinear Schr??dinger equation

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.

Identiferoai:union.ndltd.org:ADTP/258518
Date January 2004
CreatorsGrice, Glenn Noel, Mathematics, UNSW
PublisherAwarded by:University of New South Wales. Mathematics
Source SetsAustraliasian Digital Theses Program
LanguageEnglish
Detected LanguageEnglish
RightsCopyright Glenn Noel Grice, http://unsworks.unsw.edu.au/copyright

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