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Ginzburg-Landau vortex analogues

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Abstract

We consider a static one-dimensional Ginzburg-Landau equation (on a line segment or a circle) involving a large parameter λ. We show that as λ→∞, there exist solutions whose asymptotic behavior resembles the behavior of the two-dimensional vortex solutions.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. V. Domrin

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  1. A. V. Domrin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 1, pp. 18–35, July, 2000.

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Domrin, A.V. Ginzburg-Landau vortex analogues. Theor Math Phys 124, 872–886 (2000). https://doi.org/10.1007/BF02551064

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  • DOI: https://doi.org/10.1007/BF02551064

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