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Local models of magnetohydrodynamics
Affiliation:1. University of Bonn, Department of Psychology and Bonn Center for Teacher Education, BZL R 1.004, Poppelsdorfer Allee 15, 53115 Bonn, Germany;2. University of Cologne, Empirical School Research and Interdisciplinary Center for Empirical Research on Teachers and Teaching, R 816, Gronewaldstr. 2a, 50931 Köln, Germany;1. NEST Laboratory, Department of Physics, Department of Chemistry, College of Science, Shanghai University, 99 Shangda Road, Shanghai 200444, China;2. Hefei National Laboratory for Physical Sciences at the Microscale, Collaborative Innovation Center of Chemistry for Energy Materials (iChEM), School of Chemistry and Materials Science, and National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230026, China;3. National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230026, China;1. National Centre for Epidemiology and Population Health, College of Health & Medicine, Australian National University, Acton, ACT, Australia;2. Research School of Psychology, Australian National University, Acton, ACT, Australia;3. Centre for Social Research and Methods, College of Arts and Social Sciences, Australian National University, Acton, ACT, Australia;4. Centre for Community Child Health, Murdoch Children''s Research Institute, Parkville, VIC, Australia;5. Department of Social and Behavioural Sciences, Harvard T H Chan School of Public Health, Boston, MA, USA;6. Department of Community Health, Fielding School of Public Health, University of California Los Angeles, Los Angeles, CA, USA;7. School of Demography, College of Arts and Social Sciences, Australian National University, Acton, ACT, Australia;8. The Lowitja Institute, Collingwood, VIC, Australia;9. University of Canberra, Bruce, ACT, Australia;10. Faculty of Medicine and Health, University of Sydney, Camperdown, NSW, Australia;1. College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter EX4 4QF, UK;2. Victrex PLC, Hillhouse international, Thornton Cleveleys, Lancashire FY5 4QD, UK
Abstract:Magnetohydrodynamics (MHD) is treated by truncating Taylor series representations in cartesian coordinates of the velocity, magnetic and pressure fields. Model systems of ordinary differential equations are constructed and found to have oscillatory solutions. This work provides fresh insight into the magnetic reconnection problem.
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