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Khater, A. H.; El-Attary, M. A.; El-Sabbagh, M. F.; Callebaut, D. K.

Two-dimensional magnetohydrodynamic equilibria. (English) Zbl 0662.76139

Astrophys. Space Sci. 149, No. 2, 217-223 (1988).
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.

Cited in 1 Document

MSC:

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

Keywords:

Grad-Shavranov equation; two-dimensional MHD equilibria; ideal MHD equations; ‘Sh-Gordon equation’; diffused magnetized plasma
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\textit{A. H. Khater} et al., Astrophys. Space Sci. 149, No. 2, 217--223 (1988; Zbl 0662.76139)
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References:

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