Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for superconductivity |
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Authors: | Jishan Fan Hongjun Gao |
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Affiliation: | (1) College of Information Sciences and Technology, Nanjing Forestry University, Nanjing, 210037, China;(2) Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, 210097, China |
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Abstract: | We prove the uniqueness of weak solutions of the time-dependent 3-D Ginzburg-Landau model for superconductivity with (Ψ 0, A 0) ∈ L 2(Ω) initial data under the hypothesis that (Ψ, A) ∈ C([0, T]; L 3(Ω)) using the Lorentz gauge. |
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Keywords: | uniqueness Ginzburg-Landau model superconductivity Lorentz gauge |
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