Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2008, Volume 4, Number 4, Pages 443–466 (Mi nd248)  

Gas flow from the distributed source in a cross-section magnetic field

K. K. Izmaylovaab, A. P. Chupakhinab

a M. A. Lavrent'ev Institute of Hydrodynamics
b Novosibirsk State University
Abstract: We investigate the partial invariant solution of the system of the equations of the magneto hydrodynamics (MHD). This solution describes plane, steady motions of infinitely conducting gas in attendance of a magnetic field. The key-equation is the Bendikson equation type with degenerated singular point. We research topology of integral curves in a neighborhood of this singular point and infinity applying method of Frommer. There are two regimes of gas motions.
Keywords: magneto hydrodynamics, partial invariant solution, distributed source in a cross-section magnetic field, Bendikson equation, method of Frommer.
Received: 04.04.2008
Document Type: Article
UDC: 517.9, 532
MSC: 76W05, 35C05, 34C05
Language: Russian
Citation: K. K. Izmaylova, A. P. Chupakhin, “Gas flow from the distributed source in a cross-section magnetic field”, Nelin. Dinam., 4:4 (2008), 443–466
Citation in format AMSBIB
\Bibitem{IzmChu08}
\by K.~K.~Izmaylova, A.~P.~Chupakhin
\paper Gas flow from the distributed source in a cross-section magnetic field
\jour Nelin. Dinam.
\yr 2008
\vol 4
\issue 4
\pages 443--466
\mathnet{http://mi.mathnet.ru/nd248}
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    Нелинейная динамика
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