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Superconductivity in domains with corners

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  • Institut for Matematiske Fag
  • Teoretisk naturvidenskab
We study the two-dimensional Ginzburg-Landau functional in a domain with corners for exterior magnetic field strengths near the critical field where the transition from the superconducting to the normal state occurs. We discuss and clarify the definition of this field and obtain a complete asymptotic expansion for it in the large $\kappa$ regime. Furthermore, we discuss nucleation of superconductivity at the boundary.
OriginalsprogEngelsk
TidsskriftReviews in Mathematical Physics
Vol/bind19
Nummer6
Sider (fra-til)607-637
Antal sider31
ISSN0129-055X
DOI
StatusUdgivet - 2007

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