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Article Dans Une Revue Calculus of Variations and Partial Differential Equations Année : 2017

DECAY OF SUPERCONDUCTIVITY AWAY FROM THE MAGNETIC ZERO SET

Résumé

We establish exponential bounds on the Ginzburg-Landau order parameter away from the curve where the applied magnetic field vanishes. In the units used in this paper, the estimates are valid when the parameter measuring the strength of the applied magnetic field is comparable with the Ginzburg-Landau parameter. This completes a previous work by the authors analyzing the case when this strength was much higher. Our results display the distribution of surface and bulk superconductivity and are valid under the assumption that the magnetic field is Hölder continuous.
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Dates et versions

hal-01435147 , version 1 (13-01-2017)

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  • HAL Id : hal-01435147 , version 1

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Bernard Helffer, Ayman Kachmar. DECAY OF SUPERCONDUCTIVITY AWAY FROM THE MAGNETIC ZERO SET. Calculus of Variations and Partial Differential Equations, 2017, 56. ⟨hal-01435147⟩
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