Math @ Duke

Publications [#246898] of JianGuo Liu
Papers Published
 Acheritogaray, M; Degond, P; Frouvelle, A; Liu, JG, Kinetic formulation and global existence for the hallmagnetohydrodynamics system,
Kinetic and Related Models, vol. 4 no. 4
(2011),
pp. 901918, ISSN 19375093 [doi]
(last updated on 2017/12/14)
Abstract: This paper deals with the derivation and analysis of the the Hall MagnetoHydrodynamic equations. We first provide a derivation of this system from a twofluids EulerMaxwell system for electrons and ions, through a set of scaling limits. We also propose a kinetic formulation for the HallMHD equa tions which contains as fluid closure different variants of the HallMHD model. Then, we prove the existence of global weak solutions for the incompressible viscous resistive HallMHD model. We use the particular structure of the Hall term which has zero contribution to the energy identity. Finally, we discuss particular solutions in the form of axisymmetric purely swirling magnetic fields and propose some regularization of the Hall equation. © American Institute of Mathematical Sciences.


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