Institute of Mathematics for Industry


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Three dimensional Tayler instability of Hall MHD

Hold Date 2019-01-10 16:00~2019-01-10 17:30

Place Lecture Room M W1-C-512, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Rong ZOU (Zhejiang Normal University)

The Tayler instability of Hall MHD is studied by calculating the energy of disturbances. A static equilibrium in an azimuthal magnetic field is considered. Both the axisymmetric and nonaxisymmetric disturbances are discussed. By the energy principle, the positivity of potential energy is sufficient for the stability of flows. We obtain the sufficient condition for the stability of Hall MHD, which is weakened to the condition for MHD stability when the Hall effect is neglected as shown by R. J. Tayler.