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Time-periodic solutions of the time-dependent Ginzburg-Landau equations of superconductivity

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Abstract

The problem of existence of time-periodic solutions for the time-dependent Ginzburg-Landau equations of superconductivity is discussed. It is assumed that the applied magnetic field H is τ-periodic in time, and so is the associated dynamical process. We prove the existence of τ-periodic solutions in time, which are exactly the fixed points of the associated period mapping.

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Zaouch, F. Time-periodic solutions of the time-dependent Ginzburg-Landau equations of superconductivity . Z. angew. Math. Phys. 54, 905–918 (2003). https://doi.org/10.1007/s00033-003-1096-x

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  • DOI: https://doi.org/10.1007/s00033-003-1096-x

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