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Ginzburg-Landau vortices with pinning functions and self-similar solutions in harmonic maps

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Abstract

We obtain theH 1-compactness for a system of Ginzburg-Landau equations with pinning functions and prove that the vortices of its classical solutions are attracted to the minimum points of the pinning functions. As a corollary, we construct a self-similar solution in the evolution of harmonic maps.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, China

    Huaiyu Jian

  2. Institute of Mathematics, Chinese Academy of Sciences, 100080, Beijing, China

    Youde Wang

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  1. Huaiyu Jian
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  2. Youde Wang
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Correspondence to Huaiyu Jian.

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Jian, H., Wang, Y. Ginzburg-Landau vortices with pinning functions and self-similar solutions in harmonic maps. Sci. China Ser. A-Math. 43, 1019–1025 (2000). https://doi.org/10.1007/BF02898235

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  • DOI: https://doi.org/10.1007/BF02898235

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