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Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg–Landau model

Assaad, Wafaa LU ; Kashmar, Ayman and Sabbagh, Lamis (2020) In Journal of Elliptic and Parabolic Equations 6(2). p.655-684
Abstract

We study the Ginzburg–Landau model in the frame of non-homogeneous magnetic permeabilities and non-homogeneous applied magnetic fields. We establish a continuity result with respect to the applied magnetic field and the magnetic permeability coefficient, thereby motivating the consideration of a discontinuous magnetic field/permeability within the sample. We then study the model in the regime of a large Ginzburg–Landau parameter and strong applied magnetic fields. The discontinuity of the magnetic permeability term leads to regularity issues, which we handle by energy arguments.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Ginzburg–Landau functional, Magnetic steps, Variable magnetic permeability
in
Journal of Elliptic and Parabolic Equations
volume
6
issue
2
pages
30 pages
publisher
Springer
external identifiers
  • scopus:85086463188
ISSN
2296-9020
DOI
10.1007/s41808-020-00077-7
language
English
LU publication?
yes
id
07b80a12-7390-4373-8977-26f7e7eb065f
date added to LUP
2020-07-08 11:39:57
date last changed
2022-04-18 23:25:49
@article{07b80a12-7390-4373-8977-26f7e7eb065f,
  abstract     = {{<p>We study the Ginzburg–Landau model in the frame of non-homogeneous magnetic permeabilities and non-homogeneous applied magnetic fields. We establish a continuity result with respect to the applied magnetic field and the magnetic permeability coefficient, thereby motivating the consideration of a discontinuous magnetic field/permeability within the sample. We then study the model in the regime of a large Ginzburg–Landau parameter and strong applied magnetic fields. The discontinuity of the magnetic permeability term leads to regularity issues, which we handle by energy arguments.</p>}},
  author       = {{Assaad, Wafaa and Kashmar, Ayman and Sabbagh, Lamis}},
  issn         = {{2296-9020}},
  keywords     = {{Ginzburg–Landau functional; Magnetic steps; Variable magnetic permeability}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{655--684}},
  publisher    = {{Springer}},
  series       = {{Journal of Elliptic and Parabolic Equations}},
  title        = {{Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg–Landau model}},
  url          = {{http://dx.doi.org/10.1007/s41808-020-00077-7}},
  doi          = {{10.1007/s41808-020-00077-7}},
  volume       = {{6}},
  year         = {{2020}},
}