no. 21-22
Partial Differential Equations
A non-existence result for the Ginzburg–Landau equations
[Un résultat de non-existence pour les équations de Ginzburg–Landau]

Présenté par : Haïm Brezis

Kachmar, Ayman1 ; Persson, Mikael1
1 Aarhus University, Department of Mathematical Sciences, Ny Munkegade, DK-8000 Aarhus C, Denmark
Comptes Rendus. Mathématique, Tome 347 (2009) no. 21-22, pp. 1261-1264.

Nous considérons les équations de Ginzburg–Landau dans Rd, d=2,3. Nous exhibons une classe de champs magnétiques appliqués telle que les équations de Ginzburg–Landau n'admettent pas de solution d'énergie finie.

We consider the stationary Ginzburg–Landau equations in Rd, d=2,3. We exhibit a class of applied magnetic fields (including constant fields) such that the Ginzburg–Landau equations do not admit finite energy solutions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.09.024
Kachmar, Ayman 1 ; Persson, Mikael 1

1 Aarhus University, Department of Mathematical Sciences, Ny Munkegade, DK-8000 Aarhus C, Denmark 
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Kachmar, Ayman; Persson, Mikael. A non-existence result for the Ginzburg–Landau equations. Comptes Rendus. Mathématique, Tome 347 (2009) no. 21-22, pp. 1261-1264. doi : 10.1016/j.crma.2009.09.024. http://www.numdam.org/articles/10.1016/j.crma.2009.09.024/

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