TY - JOUR
T1 - Ginzburg-Landau minimizers with prescribed degrees
T2 - Dependence on domain
AU - Berlyand, Leonid
AU - Mironescu, Petru
N1 - Funding Information:
The authors thank H. Brezis for useful discussions. The work of L.B. was supported by NSF grant DMS-0204637. The work of P.M. is part of the RTN Program “Fronts-Singularities”. Part of this work was done while both authors were visiting the Rutgers University. They thank the Mathematics Department for its hospitality.
PY - 2003/9/15
Y1 - 2003/9/15
N2 - We study minimizers of the Ginzburg-Landau functional in an annular type domain with holes. We assume degrees 1 and -1 on the boundary of the annulus, degree 0 on the boundaries of the holes. Two types of qualitatively different behavior of minimizers occur, depending on the value of the H1-capacity of the domain. We also describe the asymptotic behavior of minimizers as the coherency length tends to ∞.
AB - We study minimizers of the Ginzburg-Landau functional in an annular type domain with holes. We assume degrees 1 and -1 on the boundary of the annulus, degree 0 on the boundaries of the holes. Two types of qualitatively different behavior of minimizers occur, depending on the value of the H1-capacity of the domain. We also describe the asymptotic behavior of minimizers as the coherency length tends to ∞.
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U2 - 10.1016/S1631-073X(03)00331-5
DO - 10.1016/S1631-073X(03)00331-5
M3 - Article
AN - SCOPUS:0142184318
SN - 1631-073X
VL - 337
SP - 375
EP - 380
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 6
ER -