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- W2088410178 abstract "We have constructed asymptotic matched solutions for the one dimensionnal Ginzburg–Landau system when κ is small [Math. Model. Num. Anal. 36, 971–993 (2002)]. We have deduced an expansion in powers of κ1/2 at all orders for the superheating field. In this paper, using these constructions, we propose to show that the superheating field admits for lower bound the expansion of the formal superheating field truncated at order n, for all n∈N. We generalize the proof given in Eur. J. Appl. Math. 13, 519–547 (2002), where this result is obtained for n=1. Then, we construct solutions of the Ginzburg–Landau system when the exterior magnetic field is near to the superheating field, and we give a localization of these solutions." @default.
- W2088410178 created "2016-06-24" @default.
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- W2088410178 date "2003-05-21" @default.
- W2088410178 modified "2023-09-25" @default.
- W2088410178 title "Lower bound for the superheating field in the weak-κ limit: The general case" @default.
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- W2088410178 doi "https://doi.org/10.1063/1.1570944" @default.
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