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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 9, Pages 1651–1676 (Mi zvmmf601)  
This article is cited in 1 scientific paper (total in 2 paper)

Analytic–numerical investigation of the nonlinear boundary value problem for a superconducting plate in a magnetic field

A. L. Duischkoa, G. F. Zharkovb, N. B. Konyukhovaa, S. V. Kurochkina

a Dorodnicyn Computational Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b P. N. Lebedev Physical Institute, Russian Academy of Sciences
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Abstract: An analytic-numerical analysis of the one-dimensional boundary value problem for the Ginzburg–Landau equations is presented. The problem describes the stationary states of an infinite superconducting plate of finite thickness in a magnetic field. The emphasis is on the examination of the dynamic stability of solutions in the framework of linear perturbation theory.
Key words: superconducting plate in a magnetic field, Ginzburg–Landau theory, ordinary differential equations, boundary value problem, stability of solutions, accompanying eigenvalue problem, analytic–numerical investigation.
Received: 28.01.2005
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. L. Duischko, G. F. Zharkov, N. B. Konyukhova, S. V. Kurochkin, “Analytic–numerical investigation of the nonlinear boundary value problem for a superconducting plate in a magnetic field”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1651–1676; Comput. Math. Math. Phys., 45:9 (2005), 1593–1617
Citation in format AMSBIB
\Bibitem{DuiZhaKon05}
\by A.~L.~Duischko, G.~F.~Zharkov, N.~B.~Konyukhova, S.~V.~Kurochkin
\paper Analytic--numerical investigation of the nonlinear boundary value problem for a~superconducting plate in a~magnetic field
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 9
\pages 1651--1676
\mathnet{http://mi.mathnet.ru/zvmmf601}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2216075}
\zmath{https://zbmath.org/?q=an:1117.82334}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 9
\pages 1593--1617
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  • https://www.mathnet.ru/eng/zvmmf/v45/i9/p1651
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :123
    References:59
    First page:1
     
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