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Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions |
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| Authors: | Zuhan Liu |
| Abstract: | 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]. |
| Keywords: | Ginzburg-Landau equations vortex motion asymptotic behavior ε-regularity |
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