Vortices in a stochastic parabolic Ginzburg-Landau equation

被引：3
|
作者：
Chugreeva, Olga [1 ]
Melcher, Christof [2 ]
机构：
[1] Rhein Westfal TH Aachen, Lehrstuhl I Math, Pontdriesch 14-16, D-52056 Aachen, Germany
[2] Rhein Westfal TH Aachen, Lehrstuhl I Math & JARA Fundamentals Future Infor, Pontdriesch 14-16, D-52056 Aachen, Germany
来源：
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS | 2017年 / 5卷 / 01期
关键词：
Stochastic Ginzburg-Landau equation; Multiplicative noise; Stochastic Ginzburg-Landau vortices; ORDINARY DIFFERENTIAL-EQUATIONS; MULTIPLICATIVE NOISE; VORTEX DYNAMICS; EXISTENCE; FLOWS; CONVERGENCE; ENERGY; FIELDS; SPACES;
D O I：
10.1007/s40072-016-0083-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the variant of a stochastic parabolic Ginzburg-Landau equation that allows for the formation of point defects of the solution. The noise in the equation is multiplicative of the gradient type. We show that the family of the Jacobians associated to the solution is tight on a suitable space of measures. Our main result is the characterization of the limit points of this family. They are concentrated on finite sums of delta measures with integer weights. The point defects of the solution coincide with the points at which the delta measures are centered.
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页码：113 / 143
页数：31
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