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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.

MSC:

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