Advanced

The influence of magnetic steps on bulk superconductivity

Assaad, Wafaa LU and Kachmar, Ayman (2016) In Discrete and Continuous Dynamical Systems 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.

Please use this url to cite or link to this publication:
author
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
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
2017-09-10 05:11:17
@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},
  keyword      = {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},
  title        = {The influence of magnetic steps on bulk superconductivity},
  url          = {http://dx.doi.org/10.3934/dcds.2016087},
  volume       = {36},
  year         = {2016},
}