A mean-field model of superconducting vortices
- 1 April 1996
- journal article
- research article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 7 (2) , 97-111
- https://doi.org/10.1017/s0956792500002242
Abstract
A mean-field model for the motion of rectilinear vortices in the mixed state of a type-II superconductor is formulated. Steady-state solutions for some simple geometries are examined, and a local existence result is proved for an arbitrary smooth geometry. Finally, a variational formulation of the steady-state problem is given which shows the solution to be unique.Keywords
This publication has 16 references indexed in Scilit:
- On the Theory of SuperconductivityPublished by Springer Nature ,2008
- Nucleation of superconductivity in decreasing fields. IEuropean Journal of Applied Mathematics, 1994
- Vortex dynamics in U(1) Ginzburg-Landau modelsPhysica D: Nonlinear Phenomena, 1993
- Macroscopic Models for SuperconductivitySIAM Review, 1992
- Particle distribution functions in suspensionsPhysics of Fluids A: Fluid Dynamics, 1989
- Elliptic Partial Differential Equations of Second OrderPublished by Springer Nature ,1977
- Bifurcation, perturbation of simple eigenvalues, itand linearized stabilityArchive for Rational Mechanics and Analysis, 1973
- Perturbation Theory of Nonlinear Boundary-Value ProblemsJournal of Mathematical Physics, 1969
- Existence and Bifurcation Theorems for the Ginzburg-Landau EquationsJournal of Mathematical Physics, 1967
- Bulk Solution of Ginzburg-Landau Equations for Type II Superconductors: Upper Critical Field RegionPhysical Review B, 1964