## Global well-posedness of weak solutions to the time-dependent Ginzburg-Landau model for superconductivity.(English)Zbl 1404.35425

Summary: We prove the global existence and uniqueness of weak solutions to the time dependent Ginzburg-Landau system in superconductivity with Coulomb gauge.

### MSC:

 35Q56 Ginzburg-Landau equations 35K55 Nonlinear parabolic equations 82D55 Statistical mechanics of superconductors 35A01 Existence problems for PDEs: global existence, local existence, non-existence 35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness

### Keywords:

Ginzburg-Landau model; superconductivity; Lorentz gauge
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### References:

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