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01 December 05 Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics
F. Bethuel, G. Orlandi, D. Smets
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Duke Math. J. 130(3): 523-614 (01 December 05). DOI: 10.1215/S0012-7094-05-13034-4

Abstract

In this article, we describe a natural framework for the vortex dynamics in the complex-valued parabolic Ginzburg-Landau equation in R2. This general setting does not rely on any assumption of well-preparedness and has the advantage of being valid even after collision times. We carefully analyze collisions leading to annihilation. A new phenomenon is identified, the phase-vortex interaction, which is related to the persistence of low-frequency oscillations and leads to an unexpected drift in the motion of vortices

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F. Bethuel. G. Orlandi. D. Smets. "Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics." Duke Math. J. 130 (3) 523 - 614, 01 December 05. https://doi.org/10.1215/S0012-7094-05-13034-4

Information

Published: 01 December 05
First available in Project Euclid: 1 December 2005

zbMATH: 1087.35008
MathSciNet: MR2184569
Digital Object Identifier: 10.1215/S0012-7094-05-13034-4

Subjects:
Primary: 35B40 , 35K55
Secondary: 35Q40

Rights: Copyright © 2005 Duke University Press

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Vol.130 • No. 3 • 01 December 05
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