Optimal control of dynamical Ginzburg-Landau vortices in superconductivity

被引：4

作者：

Chen, ZM ^{[1
]}

Hoffmann, KH ^{[1
]}

机构：

[1] TECH UNIV MUNCHEN WEIHENSTEPHAN,LEHRSTUHL ANGEW MATH,D-80335 MUNICH,GERMANY

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1996年 / 17卷 / 3-4期

关键词：

superconductivity; necessary condition for optimality;

D O I：

10.1080/01630569608816693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider an optimal control problem which is governed by a generalized Ginzburg-Landau model which describes the phase transitions taking place in the superconducting films with variable thickness. The objective of the work is to explore the possibilities of controlling the motion of vortices in the superconducting films through the external magnetic field. The existence of solutions of the nonlinear governing system of equations is established by a rigorous analysis of the method of lines. The existence of optimal solutions and the first order necessary conditions for optimality are obtained.

引用

页码：241 / 258

页数：18