The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films

Shijin Ding; Qiang Du

doi:10.3934/cpaa.2002.1.327

Article Contents

2002, Volume 1, Issue 3: 327-340. Doi: 10.3934/cpaa.2002.1.327

This issue Previous Article The evolution thermistor problem with degenerate thermal conductivity Next Article An adaptive mesh redistribution algorithm for convection-dominated problems

The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films

Shijin Ding^1, and
Qiang Du^2,

1.
Department of Mathematics, South China Normal University, Guangzhou, Guangdong 510631
2.
Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon

Received: May 31, 2001

Revised: November 30, 2001

Published: August 2002

Abstract Related Papers Cited by

Abstract

In this paper, we discuss the global minimizers of a free energy for the superconducting thin films placed in a magnetic field $h_{e x}$ below the lower critical field $H_{c1}$ or between $H_{c1}$ and the upper critical field $H_{c2}$. For $h_{e x}$ is near but smaller than $H_{c1}$, we prove that the global minimizer having no vortex is unique. For $H_{c1}$<<$h_{e x}$<<$H_{c2}$, we prove that the density of the vortices of the global minimizer is proportional to the applied field.

Keywords:

Mathematics Subject Classification: 37J55,35Q40.

Citation:

Article Metrics

HTML views() PDF downloads(60) Cited by(0)

The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content