Analytical description of stationary ideal MHD flows with constant total pressure

Details Analytical description of stationary ideal MHD flows with constant total pressure Analytical description of stationary ideal MHD flows with constant total pressure

2009-06-20

arxiv.org/abs/0906.3794v1

Physics Letters A, 2010, Volume 374, Issue 7, Pages 901-905

Physics

Mathematical Physics

Scientific paper

10.1016/j.physleta.2009.12.015

Incompressible stationary flows of ideal plasma are observed. By introduction of curvilinear system of coordinates in which streamlines and magnetic force lines form a family of coordinate surfaces, MHD equations are partially integrated and brought to a certain convenient form. It is demonstrated that the admissible group of Bogoyavlenskij's symmetry transformations performs as a scaling transformation for the curvilinear coordinates. Analytic description of stationary flows with constant total pressure is given. It is shown, that contact magnetic surfaces of such flows are translational surfaces, i.e. are swept out by translating one curve rigidly along another curve. Explicit examples of solutions with constant total pressure possessing a significant functional arbitrariness are given.

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