Geodesic
An equation for the limit state of a superconductor with pinning sites
Electronic journal of differential equations, Tome 2005 (2005)
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 $\kappa$.
Classification : 35B45, 35J55, 35J50, 82D55
Keywords: Ginzburg-Landau, limit state, degree, pinning 
@article{EJDE_2005__2005__a299,
     author = {Sun,  Jianzhong},
     title = {An equation for the limit state of a superconductor with pinning sites},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1134.35395},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a299/}
}
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Sun,  Jianzhong. An equation for the limit state of a superconductor with pinning sites. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a299/