Bulk superconductivity in Type II superconductors near the second critical field
classification
🧮 math-ph
math.APmath.MP
keywords
bulknearsuperconductingsuperconductorstypeaftalionawayboundary
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We consider superconductors of Type II near the transition from the 'bulk superconducting' to the 'surface superconducting' state. We prove a new $L^{\infty}$ estimate on the order parameter in the bulk, i.e. away from the boundary. This solves an open problem posed by Aftalion and Serfaty.
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