Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity
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- Fan, J. & Ozawa, T. Z. Angew. Math. Phys. (2012) 63: 453. doi:10.1007/s00033-011-0164-x
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We prove the uniqueness for weak solutions of the time-dependent 2-D Ginzburg-Landau model for superconductivity with L2 initial data in the case of Coulomb gauge. This question was left open in Tang and Wang (Physica D, 88:139–166, 1995). We also prove the uniqueness of the 3-D radially symmetric solution in bounded annular domain with the choice of Lorentz gauge and L2 initial data.