Expansion for the superheating field in a semi-infinite film in the weak- limit
Pierre Del Castillo (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
Dorsey, Di Bartolo and Dolgert (Di Bartolo , 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak- 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...