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Matematicheskoe modelirovanie, 2005, Volume 17, Number 7, Pages 94–102 (Mi mm2775)  

This article is cited in 1 scientific paper (total in 1 paper)

Dual basises in models of continua interacting with electromagnetic field

G. Ya. Skryabov

Alexandrov Research Institute of Technology
Full-text PDF (249 kB) Citations (1)
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Abstract: One of models of the continuum interacting with an electromagnetic field is considered. Such characteristic as vectors of an induction and intensity of a kinematic field are introduced at model construction. The description of three-dimensional dual basis is given taking into account vectors of an induction and intensity of electric, magnetic and kinematic fields: vectors of intensity are incorporated in initial basis, and vectors of induction – in mutual basis. The equations of material relations between vectors in these bases are resulted. Physical magnitudes are algebraic correlation in dual bases are determined. Conditions of conservation of some physical magnitudes are formulated. The decision diagram of the equations for fields trapped in medium is resulted. The system of the equations is analyzed in which Maxwell’s equations and the equations for an induction of a kinematic field of the moving medium are included.
Received: 16.12.2004
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Language: Russian
Citation: G. Ya. Skryabov, “Dual basises in models of continua interacting with electromagnetic field”, Matem. Mod., 17:7 (2005), 94–102
Citation in format AMSBIB
\Bibitem{Skr05}
\by G.~Ya.~Skryabov
\paper Dual basises in models of continua interacting with electromagnetic field
\jour Matem. Mod.
\yr 2005
\vol 17
\issue 7
\pages 94--102
\mathnet{http://mi.mathnet.ru/mm2775}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2209472}
\zmath{https://zbmath.org/?q=an:1087.78002}
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  • https://www.mathnet.ru/eng/mm2775
  • https://www.mathnet.ru/eng/mm/v17/i7/p94
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Математическое моделирование
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    Abstract page:334
    Full-text PDF :103
    References:55
    First page:1
     
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