Geodesic
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation
T. Tzaneteas1 ; I.M. Sigal2
1 Department of Mathematics, Aarhus University, Aarhus, Denmark
2 Dept. of Mathematics, Univ. of Toronto, Toronto, Canada, M5S 2E4
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 5, pp. 190-205.

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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.
DOI : 10.1051/mmnp/20138512

T. Tzaneteas 1 ; I.M. Sigal 2

1 Department of Mathematics, Aarhus University, Aarhus, Denmark
2 Dept. of Mathematics, Univ. of Toronto, Toronto, Canada, M5S 2E4 
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T. Tzaneteas; I.M. Sigal. On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 5, pp. 190-205. doi : 10.1051/mmnp/20138512. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138512/

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