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Lin, Fang Hua

Solutions of Ginzburg-Landau equations and critical points of the renormalized energy. (English) Zbl 0845.35052

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 12, No. 5, 599-622 (1995).
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)

Cited in 29 Documents

MSC:

35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs

Keywords:

motion of vortices; Ginzburg-Landau equation

Citations:

Zbl 0802.35142
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\textit{F. H. Lin}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 12, No. 5, 599--622 (1995; Zbl 0845.35052)
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References:

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