Asymptotics for the vortex condensate solutions in Chern-Simons-Higgs theory (Q2774110)

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scientific article; zbMATH DE number 1713358
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Asymptotics for the vortex condensate solutions in Chern-Simons-Higgs theory
scientific article; zbMATH DE number 1713358

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    28 February 2002
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    vortex point
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    asymptotic behavior
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    maximal condensate solutions
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    coupling parameter
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    convergence rate
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    Higgs fields
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    Asymptotics for the vortex condensate solutions in Chern-Simons-Higgs theory (English)
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    The goal of this paper is to study the asymptotic behavior of the maximal condensate solutions when the coupling parameter goes to zero. The author uses Tarantello's [\textit{G. Tarantello}, J. Math. Phys. 37, 3769-3796 (1996; Zbl 0863.58081)] weak convergence result and as a consequence he computes the locally uniform convergence rate of Higgs fields away from the vortices and blow-up rate at the vortex point.
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