# Expansion for the superheating field in a semi-infinite film in the weak-κ limit

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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-κ limit." ESAIM: Mathematical Modelling and Numerical Analysis 36.6 (2010): 971-993. <http://eudml.org/doc/194146>.

@article{Castillo2010,

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-κ 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},

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

language = {eng},

month = {3},

number = {6},

pages = {971-993},

publisher = {EDP Sciences},

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

url = {http://eudml.org/doc/194146},

volume = {36},

year = {2010},

}

TY - JOUR

AU - Castillo, Pierre Del

TI - Expansion for the superheating field in a semi-infinite film in the weak-κ limit

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

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-κ 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.; superconductivity; critical field

UR - http://eudml.org/doc/194146

ER -

## References

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