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DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS 被引量：5

DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS
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摘要 This paper studies the asymptotic behavior of solutions to an evolutionary Ginzburg-Landau equation in 3 dimensions. It is shown that the motion of the Ginzburg-Landau vortex curves is the flow by its curvature. Away from the vortices, the author uses some measure theoretic arguments used by F. H. Lin in [16] to show the strong convergence of solutions. This paper studies the asymptotic behavior of solutions to an evolutionary Ginzburg-Landau equation in 3 dimensions. It is shown that the motion of the Ginzburg-Landau vortex curves is the flow by its curvature. Away from the vortices, the author uses some measure theoretic arguments used by F. H. Lin in [16] to show the strong convergence of solutions.
作者 LIU ZUHAN Department of Mathematics, Normal College. Yangzhou University. Yangzhou 225002, China. E-mail: zuhanl@yahoo.com
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第1期95-108,共14页 数学年刊（B辑英文版）
基金 the National Natural Science Foundation of China (No. 10071067).
关键词 旋涡 Ginzberg-Landau方程 动力学 平均曲率流 偏微分方程 收敛性 能量不等式 单调性 Ginzburg- Landau Equations, Vortex, Curvature flow, Asymptotic behavior
分类号 O351 [理学—流体力学]
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Chinese Annals of Mathematics,Series B
2002年 第1期

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