We study the limit state of the inhomogeneous Ginzburg-Landau model as the Ginzburg-Landau parameter , and derive an equation to describe the limit state. We analyze the properties of solutions of the limit equation, and investigate the convergence of (local) minimizers of the Ginzburg-Landau energy with large . Our results verify the pinning effect of an inhomogeneous superconductor with large .
Submitted March 15, 2005. Published June 27, 2005.
Math Subject Classifications: 35B45, 35J55, 35J50, 82D55.
Key Words: Ginzburg-Landau; limit state; degree; pinning.
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| Jianzhong Sun |
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