Current-sheet Evolution near a Hyperbolic Magnetic Neutral Line in Hall Magnetohydrodynamics: An Exact Solution

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dc.creatorShivamoggi, Bhimsen K.
dc.date2008-01-22
dc.date2008-08-29
dc.date.accessioned2026-07-07T09:58:58Z
dc.date.available2026-07-07T09:58:58Z
dc.description\large{\bf Abstract-} Unsteady Hall Magnetohydrodynamics (MHD) near a hyperbolic magnetic neutral line is investigated. An exact analytical solution describing a self-similar evolution is given. This solution shows a negligible impact on the current-sheet formation process near the hyperbolic magnetic neutral line at small times by the Hall effect but, subsequently, a quenching by the Hall effect of the finite-time singularity exhibited in ideal MHD and, hence a prevention of the current density blow-up at large times. The asymptotic result given by this time-dependent solution is in full quantitative agreement with the formulation of \textit{steady} Hall MHD near a $X$-type magnetic neutral line (Shivamoggi [23]). The latter formulation showed that this asymptotic result indeed corresponds to a hyperbolic configuration of the magnetic field lines in the \textit{steady} case.
dc.description1-6 pages
dc.identifierhttps://arxiv.org/abs/0801.3451
dc.identifierhttp://arxiv.org/abs/0801.3451
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167870
dc.subjectPlasma Physics
dc.titleCurrent-sheet Evolution near a Hyperbolic Magnetic Neutral Line in Hall Magnetohydrodynamics: An Exact Solution
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