Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 68, pp. 1-24.

Title: An equation for the limit state of a 
       superconductor with pinning sites
       
Author: Jianzhong Sun (Wilmington, NC, USA)

Abstract: 
  We study the limit state of the inhomogeneous Ginzburg-Landau
 model as the Ginzburg-Landau parameter
 $\kappa=1/\epsilon\to \infty$, 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 $\kappa$.
 Our results verify the pinning effect of an inhomogeneous
 superconductor with large $\kappa$.
  
Submitted March 15, 2005. Published June 27, 2005.
Math Subject Classifications: 35B45, 35J55, 35J50, 82D55.
Key Words: Ginzburg-Landau; limit state; degree; pinning.