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The influence of magnetic steps on bulk superconductivity

Assaad, Wafaa LU and Kachmar, Ayman (2016) In Discrete and Continuous Dynamical Systems. Series A 36(12). p.6623-6643
Abstract

We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are valid for the minimizers of the twodimensional Ginzburg-Landau functional with a large Ginzburg-Landau parameter and with an applied magnetic field of intensity comparable with the Ginzburg-Landau parameter.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Ginzburg-Landau equation, Magnetic fields, Type II superconductors
in
Discrete and Continuous Dynamical Systems. Series A
volume
36
issue
12
pages
21 pages
publisher
American Institute of Mathematical Sciences
external identifiers
  • scopus:84992134074
ISSN
1078-0947
DOI
10.3934/dcds.2016087
language
English
LU publication?
yes
id
29fca92e-5688-4a58-8cac-87f232599e03
date added to LUP
2016-11-04 09:26:49
date last changed
2022-02-21 21:38:48
@article{29fca92e-5688-4a58-8cac-87f232599e03,
  abstract     = {{<p>We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are valid for the minimizers of the twodimensional Ginzburg-Landau functional with a large Ginzburg-Landau parameter and with an applied magnetic field of intensity comparable with the Ginzburg-Landau parameter.</p>}},
  author       = {{Assaad, Wafaa and Kachmar, Ayman}},
  issn         = {{1078-0947}},
  keywords     = {{Ginzburg-Landau equation; Magnetic fields; Type II superconductors}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{12}},
  pages        = {{6623--6643}},
  publisher    = {{American Institute of Mathematical Sciences}},
  series       = {{Discrete and Continuous Dynamical Systems. Series A}},
  title        = {{The influence of magnetic steps on bulk superconductivity}},
  url          = {{http://dx.doi.org/10.3934/dcds.2016087}},
  doi          = {{10.3934/dcds.2016087}},
  volume       = {{36}},
  year         = {{2016}},
}