J. Liang et T. Qi, ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS OF AN EVOLUTIONARY GINZBURG-LANDAU SUPERCONDUCTIVITY MODEL, Journal of mathematical analysis and applications, 195(1), 1995, pp. 92-107
The asymptotic behaviour of the solutions of a non-stationary Ginzburg
-Landau superconductivity model is discussed. Under suitable choices o
f gauge, it is proved that, as t tends to infinity, the omega-limit se
t of the solutions of the evolutionary superconductivity model consist
s of the solutions of the steady-state problem only. An example of non
-convergence is also given for solutions under a particular choice Of
gauge. (C) 1995 Academic Press, Inc.