Montaldi, James and Tokieda, Tadashi (2008) Dynamics of poles with variable strengths and optical analogies (early version). [MIMS Preprint]
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Abstract
Dynamics of point vortices is generalized to complex, variable strengths (poles), and several exact solutions with optical analogues, notably Snell's law, are given.
Item Type: | MIMS Preprint |
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Additional Information: | A very substantially revised version of this paper with a new title, "Dynamics of poles with position-dependent strengths and its optical analogues", is available as MIMS EPrint 2010.65. |
Uncontrolled Keywords: | Point vortices, Hamiltonian systems |
Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics |
Depositing User: | Dr James Montaldi |
Date Deposited: | 29 Sep 2010 |
Last Modified: | 08 Nov 2017 18:18 |
URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1077 |
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