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Extinction phenomenon for Spinor Ginzburg–Landau equations in three dimensions

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  • Kim, Kwang Ik
  • Liu, Zuhan

Abstract

Recent papers in physics literature have introduced coupled Ginzburg–Landau models for complex vector-valued order parameters in order to account for ferromagnetic or antiferromagnetic effects in high-temperature superconductors. In this paper, we study the spatial behavior of interacting components of coupled Ginzburg–Landau equations. We prove that the interspecies interaction leads to extinction in three dimensions.

Suggested Citation

  • Kim, Kwang Ik & Liu, Zuhan, 2015. "Extinction phenomenon for Spinor Ginzburg–Landau equations in three dimensions," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 786-807.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:786-807
    DOI: 10.1016/j.amc.2015.01.064
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