A magnetohydrodynamic model for corotating interplanetary structures

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Interplanetary Magnetic Fields, Interplanetary Medium, Magnetohydrodynamic Flow, Mathematical Models, Equations Of Motion, Hydrodynamic Equations, Perturbation Theory, Plasma Oscillations, Solar Wind, Steady State, Time Dependence, Wentzel-Kramer-Brillouin Method

Scientific paper

A model is developed which treats interplanetary structures as a small-scale incompressible Alfvenic fluctuation superposed on a large-scale background flow, and uses the complete magnetohydrodynamic equations and the full energy equation to describe the interplanetary structures. For steady-state corotating structures the model assumes the background flow to be field aligned, and the nonlinear system is treated as being composed of two subsets: one dealing with the expansion of the solar wind in stream tubes, the other with the interaction between neighboring stream tubes. The expansion subset has a singularity at Parker's critical radius, and the interaction subset has a singularity at the Alfvenic point. Concerning the region where the flow velocity is super-Alfvenic, the characteristic equation is derived, and a general method of numerical solution for the three-dimensional problems based on the characteristics theory is discussed. In addition, a viscous WKB solution of the microscale system is presented.

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