Bl. Guo et Gw. Yuan, CAUCHY-PROBLEM FOR THE GINZBURG-LANDAU EQUATION FOR THE SUPERCONDUCTIVITY MODEL, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 127, 1997, pp. 1181-1192
In this paper, the existence and uniqueness of the global smooth solut
ion are proved for an evolutionary Ginzburg-Landau model for supercond
uctivity under the Coulomb and Lorentz gauge.