Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity

作者：Fan, Jishan^*; Ozawa, Tohru

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2012, 63(3): 453-459.

DOI：10.1007/s00033-011-0164-x

• Uniqueness
• Ginzburg-Landau model
• Superconductivity
• Coulomb gauge
• Lorentz gauge

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, 88:139-166, 1995). We also prove the uniqueness of the 3-D radially symmetric solution in bounded annular domain with the choice of Lorentz gauge and L (2) initial data.

• 出版日期2012-6
• 单位南京林业大学