Year: 2002
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 3 : pp. 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}).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JPDE-5454
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 3 : pp. 45–60
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Vortex