Extinction phenomenon for Spinor Ginzburg–Landau equations in three dimensions

Kwang Ik Kim and Zuhan Liu

Applied Mathematics and Computation, 2015, vol. 256, issue C, 786-807

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.

Keywords: Ginzburg–Landau equation; Superconductors; Harmonic map; Phase separation; Extinction (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:786-807

DOI: 10.1016/j.amc.2015.01.064

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