Partial differential equations
On the minimizer of a renormalized energy related to the Ginzburg–Landau model
[Sur la minimisation de l'énergie renormalisée reliée au modèle de Ginzburg–Landau]

Présenté par : Haïm Brézis

Zhang, Peng1
1 Département de Mathématiques, Université Paris-Est (Créteil–Val-de-Marne), 61, avenue du Général-de-Gaulle, 94010 Céteil cedex, France
Comptes Rendus. Mathématique, Tome 353 (2015) no. 3, pp. 255-260.

Nous étudions les structures des vortex qui minimisent l'énergie renormalisée reliée au modèle de Ginzburg–Landau. Parmi tous les réseaux de Bravais, nous prouvons que le réseaux triangulaire minimise cette énergie renormalisée.

We study the configuration of vortices that minimize a renormalized energy related to the Ginzburg–Landau model. Among all the Bravais lattices, we prove that the triangular lattice minimizes this renormalized energy.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.01.001
Zhang, Peng 1

1 Département de Mathématiques, Université Paris-Est (Créteil–Val-de-Marne), 61, avenue du Général-de-Gaulle, 94010 Céteil cedex, France 
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Zhang, Peng. On the minimizer of a renormalized energy related to the Ginzburg–Landau model. Comptes Rendus. Mathématique, Tome 353 (2015) no. 3, pp. 255-260. doi : 10.1016/j.crma.2015.01.001. http://www.numdam.org/articles/10.1016/j.crma.2015.01.001/

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