Ill-posedness of the mean-field model of superconducting
vortices and a possible regularisation
Ill-posedness of the mean-field model of superconducting
vortices and a possible regularisation
We conjecture that the mean-field model of superconducting vortices given in [10] is ill-posed wherever the electric current j has some component in the same direction as the vorticity vector ? (which gives the average density and direction of the superconducting vortices). The conjecture is illustrated with a linear stability analysis of a certain solution to the model. A regularised model is then proposed, and this is used to demonstrate the instability of force-free steady states in a certain geometry.
137-152
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Stoth, Barbara
69f1ab29-7196-44b1-a0cf-aa74b1cef6c2
April 2000
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Stoth, Barbara
69f1ab29-7196-44b1-a0cf-aa74b1cef6c2
Richardson, Giles and Stoth, Barbara
(2000)
Ill-posedness of the mean-field model of superconducting
vortices and a possible regularisation.
European Journal of Applied Mathematics, 11 (2), .
Abstract
We conjecture that the mean-field model of superconducting vortices given in [10] is ill-posed wherever the electric current j has some component in the same direction as the vorticity vector ? (which gives the average density and direction of the superconducting vortices). The conjecture is illustrated with a linear stability analysis of a certain solution to the model. A regularised model is then proposed, and this is used to demonstrate the instability of force-free steady states in a certain geometry.
Text
European Journal of Applied Mathematics 2000 Richardson.pdf
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Accepted/In Press date: 8 November 1999
Published date: April 2000
Organisations:
Applied Mathematics
Identifiers
Local EPrints ID: 404023
URI: http://eprints.soton.ac.uk/id/eprint/404023
ISSN: 0956-7925
PURE UUID: 7bcee4f8-fe24-4290-a070-647e81357522
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Date deposited: 20 Dec 2016 16:50
Last modified: 16 Mar 2024 04:00
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Author:
Barbara Stoth
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