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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 1, Pages 18–35
DOI: https://doi.org/10.4213/tmf623 (Mi tmf623) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Ginzburg–Landau vortex analogues

A. V. Domrin

M. V. Lomonosov Moscow State University
Full-text PDF (296 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf623
Abstract: We consider a static one-dimensional Ginzburg–Landau equation (on a line segment or a circle) involving a large parameter λ. We show that as λ→∞, there exist solutions whose asymptotic behavior resembles the behavior of the two-dimensional vortex solutions.
Received: 08.10.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 1, Pages 872–886
DOI: https://doi.org/10.1007/BF02551064
Bibliographic databases:
Language: Russian
Citation: A. V. Domrin, “Ginzburg–Landau vortex analogues”, TMF, 124:1 (2000), 18–35; Theoret. and Math. Phys., 124:1 (2000), 872–886
Citation in format AMSBIB
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\paper Ginzburg--Landau vortex analogues
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\jour Theoret. and Math. Phys.
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\pages 872--886
\crossref{https://doi.org/10.1007/BF02551064}
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  • https://www.mathnet.ru/eng/tmf623
  • https://doi.org/10.4213/tmf623
  • https://www.mathnet.ru/eng/tmf/v124/i1/p18
    • This publication is cited in the following 3 articles:
    1. Armen Sergeev, “SCATTERING OF GINZBURG–LANDAU VORTICES”, J Math Sci, 266:3 (2022), 476  crossref
    2. A. G. Sergeev, “Adiabatic limit in the Ginzburg–Landau and Seiberg–Witten equations”, Proc. Steklov Inst. Math., 289 (2015), 227–285  mathnet  crossref  crossref  isi  elib
    3. A. G. Sergeev, “On two geometric problems arising in mathematical physics”, J. Math. Sci., 223:6 (2017), 756–762  mathnet  crossref  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:96
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