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Expansion for the superheating field in a semi-infinite film in the weak-κlimit
Mathematical Modelling and Numerical Analysis
Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak-κ limit. These authors deduced a formal expansion for the superheating field in powers of κ 1 2 up to order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in Parr's formula (Parr, 1976) . In this paper, we construct asymptotic matched solutions at all orders leading to a complete expansion indoi:10.1051/m2an:2003001 fatcat:zphjqcezo5hi7djrmtiefqs2ue