ON A NONSTATIONARY GINZBURG-LANDAU SUPERCONDUCTIVITY MODEL

被引：90

作者：

CHEN, ZM

HOFFMANN, KH

LIANG, J

机构：

[1] Technische Universität München, München, 8000

[2] Department of Mathematics, Heriot-Watt University, Edinburgh

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1993年 / 16卷 / 12期

关键词：

D O I：

10.1002/mma.1670161203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a non-stationary superconductivity model derived from Ginzburg-Landau macroscopic theory. By using gauge invariance and studying a linear problem with curl boundary conditions, we obtain the existence of solutions. The solution is unique in the sense of gauge equivalence.

引用

页码：855 / 875

页数：21

共 15 条

[1]

Adams R. A., 1975, SOBOLEV SPACES

[2] THEORY OF SUPERCONDUCTIVITY [J].

BARDEEN, J ;

COOPER, LN ;

SCHRIEFFER, JR .

PHYSICAL REVIEW, 1957, 108 (05) :1175-1204

[3]

BERGAER MS, 1909, J FUNCT ANAL, V82, P259

[4]

CHAPMAN SJ, UNPUB MACROSOPIC MOD

[5] ANALYSIS AND APPROXIMATION OF THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY [J].

DU, Q ;

GUNZBURGER, MD ;

PETERSON, JS .

SIAM REVIEW, 1992, 34 (01) :54-81

[6]

Gilbarg D., 1977, ELLIPTIC PARTIAL DIF, V224

[7]

Ginzburg V.L., 1950, SOV PHYS JETP, V20, P1064

[8]

GIRAULT V, 1986, FINITE ELEMENTS METH

[9]

Ladyzhenskaya O A, 1968, LINEAR QUASILINEAR E

[10]

LIONS JL, 1985, CONTROL DISTRIBUTION

← 1 2 →