A variational principle for magnetohydrodynamics with high Hartmann number flow. (English) Zbl 1211.76145

Summary: By the semi-inverse method, a variational principle is established for three-dimensional MHD equations with high Hartmann number. In order to incorporate the no-slip condition and far distance boundary condition as natural boundary conditions, a special technique is proposed in this paper. Lagrange crisis are also illustrated.


76W05 Magnetohydrodynamics and electrohydrodynamics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76M30 Variational methods applied to problems in fluid mechanics
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