The influence of magnetic steps on bulk superconductivity

Wafaa Assaad; Ayman Kachmar

doi:10.3934/dcds.2016087

The influence of magnetic steps on bulk superconductivity

Wafaa Assaad, Ayman Kachmar

Matematik LTH

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

13 Citeringar (SciVal)

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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.

Originalspråk	engelska
Sidor (från-till)	6623-6643
Antal sidor	21
Tidskrift	Discrete and Continuous Dynamical Systems. Series A
Volym	36
Utgåva	12
DOI	https://doi.org/10.3934/dcds.2016087
Status	Published - 2016 dec. 1

Ämnesklassifikation (UKÄ)

Matematik

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10.3934/dcds.2016087

13 Citeringar
1 Doktorsavhandling (sammanläggning)

Superconductivity in the presence of magnetic steps
Assaad, W., 2019, Lund: Mathematics Centre for Mathematical Sciences Lund University Lund. 193 s.
Forskningsoutput: Avhandling › Doktorsavhandling (sammanläggning)

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title = "The influence of magnetic steps on bulk superconductivity",

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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KW - Ginzburg-Landau equation

KW - Magnetic fields

KW - Type II superconductors

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DO - 10.3934/dcds.2016087

M3 - Article

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The influence of magnetic steps on bulk superconductivity

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Superconductivity in the presence of magnetic steps

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