2010.65: Dynamics of poles with position-dependent strengths and its optical analogues
2010.65: James Montaldi and Tadashi Tokieda (2010) Dynamics of poles with position-dependent strengths and its optical analogues.
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Abstract
Dynamics of point vortices is generalized in two ways. Firstly by allowing complex strengths which allows for sources and sinks in combination with the the usual vorticity, and secondly by allowing the strengths to be functions of position. We describe several exact solutions with optical analogues, notably Snell's law and law of reflection off a mirror.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Vortex dynamics, Snell's law, geometric optics, hybrid systems |
| Subjects: | MSC 2000 > 37 Dynamical systems and ergodic theory MSC 2000 > 70 Mechanics of particles and systems MSC 2000 > 76 Fluid mechanics |
| MIMS number: | 2010.65 |
| Deposited By: | Dr James Montaldi |
| Deposited On: | 19 July 2010 |
Available Versions of this Item
- Dynamics of poles with position-dependent strengths and its optical analogues (deposited 03 April 2011)
- Dynamics of poles with position-dependent strengths and its optical analogues (deposited 01 September 2010)
- Dynamics of poles with position-dependent strengths and its optical analogues (deposited 19 July 2010) [Currently Displayed]
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