@Article{JPDE-15-45,
author = {Huaiyu Jian  and Youde Wang },
title = {Ginzburg-Landau Vortices in Inhomogeneous Superconductors},
journal = {Journal of Partial Differential Equations},
year = {2002},
volume = {15},
number = {3},
pages = {45--60},
abstract = { We study the vortex convergence for an inhomogeneous Ginzburg-Landau equation, -Δu = ∈^{-2}u(a(x) - |u|²), and prove that the vortices are attracted to the minimum point b of a(x) as ∈ → 0. Moreover, we show that there exists a subsequence ∈ → 0 such that u_∈ converges to u strongly in H¹_{loc}(\overline{Ω} \ {b}).},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5454.html}
}