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On the similarity solutions for a steady MHD equation. (English) Zbl 1221.76222
Summary: We investigate the similarity solutions for the steady laminar incompressible boundary layer equations governing the magnetohydrodynamic (MHD) flow near the forward stagnation point of two-dimensional and axisymmetric bodies. This leads to the study of a boundary value problem involving a third order autonomous ordinary differential equation. Our main results are the existence, uniqueness and non-existence for concave or convex solutions.

##### MSC:
 76W05 Magnetohydrodynamics and electrohydrodynamics 34B40 Boundary value problems on infinite intervals for ordinary differential equations 76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
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##### References:
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