Existence of periodic solutions for Ginzburg-Landau equations of superconductivity

[摘要] In an earlier paper (B. 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 author (in press, J. Nonlinear Anal.). (C) 2000 Academic Press.

[发布日期] 2000-09-15

[关键词] Ginzburg-Landau (TDGL) equations;periodic solutions;phase-lock equations