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Volume 14, Issue 1
Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions

Zuhan Liu

J. Part. Diff. Eq., 14 (2001), pp. 71-86.

Published online: 2001-02

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  • 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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@Article{JPDE-14-71, author = {Zuhan Liu }, title = {Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {1}, pages = {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].}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5470.html} }
TY - JOUR T1 - Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions AU - Zuhan Liu 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].
Zuhan Liu . (2001). Vortex Motion Law of an Evolutionary Ginzburg-Landau Equation in 2 Dimensions. Journal of Partial Differential Equations. 14 (1). 71-86. doi:
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