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
Citation:
Izmaylova K. K., Chupakhin A. P., Gas flow from the distributed source in a cross-section magnetic field., Rus. J. Nonlin. Dyn.,
2008, Vol. 4, No. 4,
pp. 443-465
DOI:10.20537/nd0804005