Differential and Integral Equations

Existence, uniqueness and multiplicity of rotating fluxon waves in annular Josephson junctions

Guy Katriel

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Abstract

We prove that the equation modelling an annular Josephson junction has a rotating fluxon wave solution for all values of the parameters. We also obtain results on uniqueness of the rotating fluxon wave in some parameter regimes, and on multiplicity of rotating fluxon waves in other parameter regimes.

Article information

Source
Differential Integral Equations Volume 20, Number 10 (2007), 1167-1184.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356039301

Mathematical Reviews number (MathSciNet)
MR2365207

Zentralblatt MATH identifier
1212.35418

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B10: Periodic solutions 35B35: Stability 47J05: Equations involving nonlinear operators (general) [See also 47H10, 47J25] 82D55: Superconductors

Citation

Katriel, Guy. Existence, uniqueness and multiplicity of rotating fluxon waves in annular Josephson junctions. Differential Integral Equations 20 (2007), no. 10, 1167--1184. https://projecteuclid.org/euclid.die/1356039301.


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