Electron. J. Diff. Eqns., Vol. 2005(2005), No. 68, pp. 1-24.

An equation for the limit state of a superconductor with pinning sites

Jianzhong Sun

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.

Show me the PDF file (375K), TEX file, and other files for this article.

Jianzhong Sun
457 Racine Dr., Apt 210
Wilmington, NC 28403, USA
email: sunj_999_1999@yahoo.com; lsjason@gmail.com

Return to the EJDE web page