# Expansion for the superheating field in a semi-infinite film in the weak-$\kappa $ limit

- Volume: 36, Issue: 6, page 971-993
- ISSN: 0764-583X

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topCastillo, Pierre Del. "Expansion for the superheating field in a semi-infinite film in the weak-$\kappa $ limit." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 36.6 (2002): 971-993. <http://eudml.org/doc/244880>.

@article{Castillo2002,

abstract = {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-$\kappa $ limit. These authors deduced a formal expansion for the superheating field in powers of $\kappa ^\{\frac\{1\}\{2\}\}$ 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 in powers of $\kappa ^\{\frac\{1\}\{2\}\}$ for the superheating field.},

author = {Castillo, Pierre Del},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {superconductivity; Ginzburg-Landau equation; critical field},

language = {eng},

number = {6},

pages = {971-993},

publisher = {EDP-Sciences},

title = {Expansion for the superheating field in a semi-infinite film in the weak-$\kappa $ limit},

url = {http://eudml.org/doc/244880},

volume = {36},

year = {2002},

}

TY - JOUR

AU - Castillo, Pierre Del

TI - Expansion for the superheating field in a semi-infinite film in the weak-$\kappa $ limit

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2002

PB - EDP-Sciences

VL - 36

IS - 6

SP - 971

EP - 993

AB - 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-$\kappa $ limit. These authors deduced a formal expansion for the superheating field in powers of $\kappa ^{\frac{1}{2}}$ 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 in powers of $\kappa ^{\frac{1}{2}}$ for the superheating field.

LA - eng

KW - superconductivity; Ginzburg-Landau equation; critical field

UR - http://eudml.org/doc/244880

ER -

## References

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