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A hierarchy of models for type-II superconductors. (English) Zbl 0967.82014
The very interesting paper under review deals with a hierarchy of models for type-II semiconductors. By means of appropriate asymptotic limits, the author passes from the mesoscopic Ginzburg-Landau model to the London model with isolated superconducting vortices as line singularities, to vortex-density models, and finally to macroscopic critical-state models.

MSC:
82D55 Statistical mechanics of superconductors
35Q60 PDEs in connection with optics and electromagnetic theory
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