Time dependent Ginzburg-Landau equations of superconductivity

@inproceedings{Tang1995TimeDG,
  title={Time dependent Ginzburg-Landau equations of superconductivity},
  author={Qi Tang and Shouhong Wang},
  year={1995}
}
Abstract We study in this article the existence, uniqueness and long time behavior of the solutions of a nonstationary Ginzburg-Landau superconductivity model. We first prove the existence and uniqueness of solutions with H 1 initial data, which are crucial for the study of the global attractor. We also obtain, for the first time, the existence of global weak solutions of the model with L 2 initial data. It is then proved that the Ginzburg-Landau system admits a global attractor, which… CONTINUE READING
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