Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity |
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| Authors: | Jishan Fan Tohru Ozawa |
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| Institution: | 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, People??s Republic of China
2. Department of Applied Physics, Waseda University, Tokyo, 169-8555, Japan
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| Abstract: | We prove the uniqueness for weak solutions of the time-dependent 2-D Ginzburg-Landau model for superconductivity with L 2 initial data in the case of Coulomb gauge. This question was left open in Tang and Wang (Physica D, 88:139?C166, 1995). We also prove the uniqueness of the 3-D radially symmetric solution in bounded annular domain with the choice of Lorentz gauge and L 2 initial data. |
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