This article is cited in 3 papers

Plane ovsyannikov vortex: Motion properties and exact solutions

S. V. Golovin

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: The physical properties of ideal plasma flow described by the Ovsyannikov plane vortex are studied. The particle trajectories and magnetic lines are shown to be plane curves, and an algorithm for describing the motion in three-dimensional space is proposed. Some exact solutions of the submodel are obtained and studied.

Keywords: ideal magnetohydrodynamics, exact solutions, trajectories, magnetic lines, uniform deformation.

UDC: 533

Received: 30.07.2007
Accepted: 05.09.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2008, 49:6, 934–945

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