Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions

Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions

Year:    2001

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 1 : pp. 71–86

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].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JPDE-5470

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 1 : pp. 71–86

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Ginzburg-Landau equations