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2008.41: Dynamics of poles with variable strengths and optical analogies (early version)

2008.41: James Montaldi and Tadashi Tokieda (2008) Dynamics of poles with variable strengths and optical analogies (early version).

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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
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 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 76 Fluid mechanics
MIMS number:2008.41
Deposited By:Dr James Montaldi
Deposited On:29 September 2010

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