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Solutions of Ginzburg-Landau equations and critical points of the renormalized energy. (English) Zbl 0845.35052
The motion of vortices of solutions of the initial boundary value problem of the Ginzburg-Landau equation is the main concern of this paper, and the question is studied successfully. There are connections to the complete characterization of asymptotic behavior for vortices (governed by a certain energy functional), given in the book of F. Bethuel, H. Brezis and F. Hélein [Ginzburg-Landau vortices, Birkhäuser, Boston (1994; Zbl 0802.35142)].
Reviewer: A.Göpfert (Halle)

35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
Full Text: DOI Numdam EuDML
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