Two-dimensional magnetohydrodynamic equilibria. (English) Zbl 0662.76139

For the two-dimensional MHD equilibria, the system of ideal MHD equations is reduced to a single nonlinear equation of the magnetic potential as a ‘Sh-Gordon equation’. A set of analytical solutions is presented which are adequate for describing parallel filaments of a diffused magnetized plasma suspended horizontally in equilibrium in a uniform gravitational field.


76W05 Magnetohydrodynamics and electrohydrodynamics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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