Expansion for the superheating field in a semi-infinite film in the weak-κ limit
UMR 8628 du CNRS,
Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France. firstname.lastname@example.org.
Revised: 22 April 2002
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 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 in powers of for the superheating field.
Mathematics Subject Classification: 34E05 / 34E10
Key words: Superconductivity / Ginzburg-Landau equation / critical field.
© EDP Sciences, SMAI, 2002