The influence of magnetic steps on bulk superconductivity

Wafaa Assaad, Ayman Kachmar

Research output: Contribution to journalArticlepeer-review

13 Citations (SciVal)


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.

Original languageEnglish
Pages (from-to)6623-6643
Number of pages21
JournalDiscrete and Continuous Dynamical Systems. Series A
Issue number12
Publication statusPublished - 2016 Dec 1

Subject classification (UKÄ)

  • Mathematics


  • Ginzburg-Landau equation
  • Magnetic fields
  • Type II superconductors


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