Existence of Periodic Solutions for Ginzburg Landau Equations of Superconductivity

In an earlier paperŽB. Wang, 1999, J. Math. Anal. Appl. 232, 394 412.the author proved the existence of periodic solutions to the Ginzburg Landau equations of superconductivity in two dimensions. Here we will show that the Ginzburg Landau equations admit periodic solutions in three-dimensions as well. We also prove the existence of periodic solutions to the phase-lock equations introduced by the authorŽin press, J. Nonlinear Anal...