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Two terms in the lower bound for the superheating field in a semi-infinite film in the weak-κ limit

Published online by Cambridge University Press:  28 November 2002

P. DEL CASTILLO
P. DEL CASTILLO
Affiliation:
UMR 8628 CNRS – Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France email: [email protected]
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Abstract

Dorsey et al. [8] have constructed formal solutions for the half-space Ginzburg–Landau model, when κ is small. Dorsey et al. deduce a formal expansion for the superheating field in powers of κ½ up to order 4. In this paper, we show how the formal construction gives a natural way for constructing a subsolution for the Ginzburg–Landau system. We improve the result obtained by Bolley & Helffer [2], and take a step in the proof of the Parr Formula [13], getting two terms in the lower bound for the superheating field as κ → 0.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 5 , October 2002 , pp. 517 - 544
Copyright
2002 Cambridge University Press

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