| Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 5, 2013
Bifurcations
|
|
|---|---|---|
| Page(s) | 190 - 205 | |
| DOI | https://doi.org/10.1051/mmnp/20138512 | |
| Published online | 17 September 2013 | |
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation
1
Department of Mathematics, Aarhus University,
Aarhus,
Denmark
2
Dept. of Mathematics, Univ. of Toronto,
Toronto, Canada,
M5S 2E4
⋆ Corresponding author. E-mail: ttzaneteas@imf.au.dk
⋆⋆ Corresponding author. E-mail: im.sigal@utoronto.ca
Building on earlier work, we have given in [29] a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and shown that the triangular lattice gives the lowest energy per lattice cell. After [29] was published, we realized that it proves a stronger result than was stated there. This result is recorded in the present paper. The proofs remain the same as in [29], apart from some streamlining.
Mathematics Subject Classification: 35Q56 / 35B32
Key words: magnetic vortices / superconductivity / Ginzburg-Landau equations / Abrikosov vortex lattices / bifurcation
© EDP Sciences, 2013
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