Abstract
Several plasma-dynamics problems, pertaining primarily to space physics, are analyzed in the approximation of a strong magnetic field. These problems can be grouped into two classes: continuous flow without magnetic null points and flow leading to the appearance of current sheets in the presence of singular null points. Flow in the field of a magnetic dipole which is increasing with time — a problem of the first class — is analyzed. There is a discussion of the application of the results to topics in solar physics — the formation of prominences, condensations, spicules, etc. A problem of the second class which is discussed is that of the appearance of a current sheet in the field of a plane magnetic dipole. There is a discussion of the application of these results to the problem of the appearance of the geomagnetic tail and coronal rays. The particle trajectories and the velocity and density profiles near a developed current sheet are found by numerical integration. An important result is the proof that the plasma density near a current sheet decays over time.
Published Version
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