Ginzburg-Landau dynamics with a time-dependent magnetic field

被引：15
|
作者：
Kaper, HG [1 ]
Takac, P
机构：
[1] Argonne Natl Lab, Div Math & Comp Sci, Argonne, IL 60439 USA
[2] Univ Rostock, Fachbereich Math, D-18055 Rostock, Germany
来源：
NONLINEARITY | 1998年 / 11卷 / 02期
关键词：
D O I：
10.1088/0951-7715/11/2/006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The time-dependent Ginzburg-Landau equations of superconductivity define a dynamical process when the applied magnetic field varies with time. Sufficient conditions (in terms of the time rate of change of the applied field) are given that, if satisfied, guarantee that this dynamical process is asymptotically autonomous. As time goes to infinity, the dynamical process asymptotically approaches a dynamical system whose attractor coincides with the omega-limit set of the dynamical process.
引用
收藏
页码：291 / 305
页数：15
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