Geodesic
Regularity and nonexistence results for some free-interface problems related to Ginzburg–Landau vortices
Nam Q. Le1
1New York University, United States
Interfaces and free boundaries, Tome 11 (2009) no. 1, pp. 139-152

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DOI

We study regularity and nonexistence properties for some free-interface problems arising in the study of limiting vorticities associated to the Ginzburg-Landau equations with magnetic field in two dimensions. Our results imply in particular that if these limiting vorticities concentrate on a smooth closed curve then they have a distinguished sign; moreover, if the domain is thin then solutions of the Ginzburg-Landau equations cannot have a number of vortices much larger than the applied magnetic field.
DOI : 10.4171/ifb/206
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Nam Q. Le  1

1 New York University, United States 
Nam Q. Le. Regularity and nonexistence results for some free-interface problems related to Ginzburg–Landau vortices. Interfaces and free boundaries, Tome 11 (2009) no. 1, pp. 139-152. doi: 10.4171/ifb/206
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     title = {Regularity and nonexistence results for some free-interface problems related to {Ginzburg{\textendash}Landau} vortices},
     journal = {Interfaces and free boundaries},
     pages = {139--152},
     year = {2009},
     volume = {11},
     number = {1},
     doi = {10.4171/ifb/206},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/206/}
}
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