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Preprints of the Keldysh Institute of Applied Mathematics, 2006, 040, 28 pp. (Mi ipmp588)  

Homogeneous motions of plasma cord in electromagnetic hydrodynamics

M. B. Gavrikov, R. V. Sorokin
Abstract: Homogeneous flows of cylindrical symmetric plasma cord in Electromagnetic Hydrodynamics. (EMHD) are obtained. In EMHD it is assumed that electronic mass do not equal to zero. The solutions obtained include wide range of cord’s motions from collapses and periodic oscillations to nonlinear resonances and self-sustained oscillations. The type of cord’s motion, as is shown, is dictated by total current function in cord, which as distinct from MHD may be arbitrary. The electrotechnical equation for simple circuit involving plasma cord is obtained. Some numerical results are presented.
Document Type: Preprint
Language: Russian
Citation: M. B. Gavrikov, R. V. Sorokin, “Homogeneous motions of plasma cord in electromagnetic hydrodynamics”, Keldysh Institute preprints, 2006, 040, 28 pp.
Citation in format AMSBIB
\Bibitem{GavSor06}
\by M.~B.~Gavrikov, R.~V.~Sorokin
\paper Homogeneous motions of plasma cord in electromagnetic hydrodynamics
\jour Keldysh Institute preprints
\yr 2006
\papernumber 040
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp588}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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