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| DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS |
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Citation： |
LIU Zuhan.DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS[J].Chinese Annals of Mathematics B,2002,23(1):95~108 |
| Page view： 1175
Net amount： 797 |
Authors： |
LIU Zuhan; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 10071067). |
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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. |
Keywords： |
Ginzburg-Landau Equations, Vortex, Curvature flow, Asymptotic behavior |
Classification： |
35J55, 35Q40 |
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