| DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG－LANDAU EQUATIONS IN 3 DIMENSIONS |
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| 作者姓名： | LIU Zuhan |
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| 作者单位： | LIU ZUHAN Department of Mathematics,Normal College. Yangzhou University. Yangzhou 225002,China. E-mail: zuhanl@yahoo.com |
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| 基金项目： | the National Natural Science Foundation of China (No. 10071067). |
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| 摘 要： | 91. Introduction\Nb consider thc fOllowing problemwhere Q = fl x I0, l], fl C R2 is a bounded smooth domaill, g f Z = afl x I0, l] - Sl is aC"-map such that deg(g,0O.) = d > 0 fOr all 0 5 = 5 l. Herc fl. = n x {z}. fi f Q --+ Ris a smooth function (sa}' C'(Q)) with positivc lowcr bound. ue t Q x R+ - R2.The aim of this article is to understand thc dynamics of vortices, or zeros, of solutionsu of (l.1)--(l.4). lts importance to the theory of superconductivity and applications areaddress…
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| 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 |
| 收稿时间： | 2000/3/28 0:00:00 |
| 修稿时间： | 2000/10/19 0:00:00 |
DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS |
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| LIU Zuhan.DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS[J].Chinese Annals of Mathematics,Series B,2002,23(1):95-108. |
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| Authors: | LIU Zuhan |
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| Institution: | Department of Mathematics, Normal College, Yangzhou University, Yangzhou 225002, China. |
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| Abstract: | 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. |
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| Keywords: | Ginzburg- Landau Equations Vortex Curvature flow Asymptotic behavior |
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