Bulletin of the Belgian Mathematical Society - Simon Stevin

Extinction phenomenon for Spinor Ginzburg-Landau equations

Zuhan Liu

Full-text: Open access

Abstract

Recent papers in physics literature have introduced spinor Ginzburg-Landau model 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 Spinor Ginzburg-Landau model. We prove the interspecies interaction leads to extinction, that is, configurations where one or more densities are null.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 19, Number 3 (2012), 549-559.

Dates
First available in Project Euclid: 14 September 2012

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1347642382

Mathematical Reviews number (MathSciNet)
MR3050637

Zentralblatt MATH identifier
1252.35254

Subjects
Primary: 35J55 35Q40: PDEs in connection with quantum mechanics

Keywords
Ginzburg-Landau equation extinction

Citation

Liu, Zuhan. Extinction phenomenon for Spinor Ginzburg-Landau equations. Bull. Belg. Math. Soc. Simon Stevin 19 (2012), no. 3, 549--559. https://projecteuclid.org/euclid.bbms/1347642382


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