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- W2946112864 abstract "We study the magnetic Laplacian and the Ginzburg-Landau functional in a thin planar, smooth, tubular domain and with a uniform applied magnetic field. We provide counterexamples to strong diamagnetism, and as a consequence, we prove that the transition from the superconducting to the normal state is non-monotone. In some non-linear regime, we determine the structure of the order parameter and compute the super-current along the boundary of the sample. Our results are in agreement with what was observed in the Little-Parks experiment, for a thin cylindrical sample." @default.
- W2946112864 created "2019-05-29" @default.
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- W2946112864 date "2019-11-19" @default.
- W2946112864 modified "2023-10-10" @default.
- W2946112864 title "THIN DOMAIN LIMIT AND COUNTEREXAMPLES TO STRONG DIAMAGNETISM" @default.
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