Research Commons
      • Browse 
        • Communities & Collections
        • Titles
        • Authors
        • By Issue Date
        • Subjects
        • Types
        • Series
      • Help 
        • About
        • Collection Policy
        • OA Mandate Guidelines
        • Guidelines FAQ
        • Contact Us
      • My Account 
        • Sign In
        • Register
      View Item 
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Hall MHD and electron inertia effects in current sheet formation at a magnetic neutral line

      Litvinenko, Yuri E.; McMahon, Liam C.
      Thumbnail
      Files
      East-Asian-J-Applied-Maths.pdf
      Published version, 162.9Kb
      DOI
       10.4208/eajam.160914.060315a
      Find in your library  
      Citation
      Export citation
      Litvinenko, Y. E., & McMahon, L. C. (2015). Hall MHD and electron inertia effects in current sheet formation at a magnetic neutral line. East Asian Journal on Applied Mathematics, 5(2), 109–125. http://doi.org/10.4208/eajam.160914.060315a
      Permanent Research Commons link: https://hdl.handle.net/10289/9875
      Abstract
      An exact self-similar solution is used to investigate current sheet formation at a magnetic neutral line in incompressible Hall magnetohydrodynamics. The collapse to a current sheet is modelled as a finite-time singularity in the solution for electric current density at the neutral line. We establish that a finite-time collapse to the current sheet can occur in Hall magnetohydrodynamics, and we find a criterion for the finite-time singularity in terms of the initial conditions. We derive an asymptotic solution for the singularity formation and a formula for the singularity formation time. The analytical results are illustrated by numerical solutions, and we also investigate an alternative similarity reduction. Finally, we generalise our solution to incorporate resistive, viscous and electron inertia terms.
      Date
      2015
      Type
      Journal Article
      Publisher
      Cambridge Journals
      Rights
      © Global-Science Press 2015.
      Collections
      • Computing and Mathematical Sciences Papers [1452]
      Show full item record  

      Usage

      Downloads, last 12 months
      74
       
       
       

      Usage Statistics

      For this itemFor all of Research Commons

      The University of Waikato - Te Whare Wānanga o WaikatoFeedback and RequestsCopyright and Legal Statement