VORTEX LIQUIDS AND THE GINZBURG-LANDAU EQUATION

被引：5
|
作者：
Kurzke, Matthias [1 ]
Spirn, Daniel [2 ]
机构：
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
来源：
FORUM OF MATHEMATICS SIGMA | 2014年 / 2卷
关键词：
D O I：
10.1017/fms.2014.6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish vortex dynamics for the time-dependent Ginzburg-Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to explicit convergence rates. For dilute vortex liquids, we prove that sequences of solutions converge to the hydrodynamic limit.
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页数：63
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