Geodesic
Dual basises in models of continua interacting with electromagnetic field
Matematičeskoe modelirovanie, Tome 17 (2005) no. 7, pp. 94-102

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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. 
@article{MM_2005_17_7_a9,
     author = {G. Ya. Skryabov},
     title = {Dual basises in models of continua interacting with electromagnetic field},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {94--102},
     publisher = {mathdoc},
     volume = {17},
     number = {7},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2005_17_7_a9/}
}
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G. Ya. Skryabov. Dual basises in models of continua interacting with electromagnetic field. Matematičeskoe modelirovanie, Tome 17 (2005) no. 7, pp. 94-102. http://geodesic.mathdoc.fr/item/MM_2005_17_7_a9/