ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS OF AN EVOLUTIONARY GINZBURG-LANDAU SUPERCONDUCTIVITY MODEL

Authors
Citation
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
Citations number
18
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
195
Issue
1
Year of publication
1995
Pages
92 - 107
Database
ISI
SICI code
0022-247X(1995)195:1<92:AOTSOA>2.0.ZU;2-#
Abstract
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.