Differential and Integral Equations

Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory

Ayman Kachmar

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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.

Article information

Differential Integral Equations, Volume 21, Number 1-2 (2008), 95-130.

First available in Project Euclid: 20 December 2012

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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

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