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The singular integral equation, air?! )G£77I / aino)ci.no -1 <77 < 1, 0 < v < 1, is solved in the homogeneous case (/ = 0) by a simple transformation and in the inhomogeneous case by reducing it to a Riemann-Hilbert equation. The results simplify a solution first obtained by Hunt and Stewartson for the flow of electrically conducting fluid along a rectangular duct in the limit of large externally applied magnetic field.

Solution to a class of integral equations with an application to magnetohydrodynamics