Differential and Integral Equations
- Differential Integral Equations
- Volume 21, Number 1-2 (2008), 95-130.
Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory
We consider a S-N-S Josephson junction modeled through the Ginzburg-Landau theory. When the normal material is sufficiently thin and the applied magnetic field is below the critical field of vortex nucleation, we prove to leading order that jump boundary conditions of the type predicted by de Gennes are satisfied across the junction.
Differential Integral Equations, Volume 21, Number 1-2 (2008), 95-130.
First available in Project Euclid: 20 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B25: Singular perturbations 35J20: Variational methods for second-order elliptic equations 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10] 82D55: Superconductors
Kachmar, Ayman. Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory. Differential Integral Equations 21 (2008), no. 1-2, 95--130. https://projecteuclid.org/euclid.die/1356039061