Plasma physics, nonlinear dynamics, hall magnetohydrodynamics
The framework for the Hall magnetohydrodynamic (MHD) model for plasma physics is built up from kinetic theory and used to analytically solve problems of interest in the field. The Hall MHD model describes fast magnetic reconnection processes in space and laboratory plasmas. Specifically, the magnetic reconnection process at an X-type neutral point, where current sheets form and store enormous amounts of magnetic energy which is later released as magnetic storms when the sheets break up, is investigated. The phenomena of magnetic flux pile-up driving the merging of antiparallel magnetic fields at an ion stagnation-point flow in a thin current sheet, called the Parker problem, also receives rigorous mathematical analysis.
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Master of Science (M.S.)
College of Sciences
Mathematical Science; Industrial Mathematics
Length of Campus-only Access
Masters Thesis (Open Access)
Dissertations, Academic -- Sciences,Sciences -- Dissertations, Academic
Reger, Kyle, "On Hall Magnetohydrodynamics: X-type Neutral Point And Parker Problem" (2012). Electronic Theses and Dissertations, 2004-2019. 2236.