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

K. K. Izmaylova^ab, A. P. Chupakhin<sup>ab

a</sup> 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.

UDC: 517.9, 532

MSC: 76W05, 35C05, 34C05

Received: 04.04.2008