Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg–Landau model
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/07b80a12-7390-4373-8977-26f7e7eb065f
- author
- Assaad, Wafaa LU ; Kashmar, Ayman and Sabbagh, Lamis
- organization
- publishing date
- 2020-12
- 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}}, }