Multiplicity and stability of time-periodic solutions of Ginzburg-Landau equations of superconductivity |
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Authors: | Mei-Qin Zhan |
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Institution: | Department of Mathematics & Statistics, University of North Florida, Jacksonville, FL 32224, USA |
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Abstract: | In this article we shall show that the Ginzburg-Landau equations admit at least three time-periodic solutions. One of the time-periodic solutions describes the non-superconductive (or normal) state and the other one describes the superconductivity state. We will also show that the time-periodic solutions are exponentially stable. Furthermore, the method we use in this article can be used to find numerical approximations to the time-periodic solutions. |
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Keywords: | Ginzburg-Landau equations Phase-lock equations Multiplicity Time-periodic solution Stability Superconductivity |
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