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Leapfrogging vortices for the Gross-Pitaevskii equation

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Leapfrogging vortices for the Gross-Pitaevskii equation
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7
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21
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
We will present a rigorous derivation of the leapfrogging mechanism for the 3D axisymmetric Gross-Pitaveskii equation (joint with R.L. Jerrard), and point out the difficulties that arise in the related context of the incompressible Euler equation.