TY - JOUR
T1 - Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions
JO - Journal of Partial Differential Equations
VL - 1
SP - 71
EP - 86
PY - 2001
DA - 2001/02
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5470.html
KW - Ginzburg-Landau equations
KW - vortex motion
KW - asymptotic behavior
KW - ε-regularity
AB -  We study the asymptotic behavior of solutions to an evolutionary Ginzburg-Landau equation. We also study the dynamical law of Ginzburg-Landau vortices of this equation under the Neuman boundary conditions. Away from the vortices, we use some measure theoretic arguments used by F.H.Lin in [1] to show the strong convergence of solutions. This is a continuation of our earlier work [2].