On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation
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This paper concerns the singular solutions of the equation ƒ‴ + κƒƒ″ - βƒ′2 = 0 where β < 0 and κ = 0 or 1. This equation arises when modelling heat transfer past a vertical flat plate embedded in a saturated porous medium with an applied magnetic field. After suitable normalization, ƒ′ represents the velocity parallel to the surface or the non-dimensional fluid temperature. Our interest is in solutions which develop a singularity at some point (the blow-up point). In particular, we shall examine in detail the behavior of ƒ near the blow-up point.
CitationBenlahsen, M., Gmira, A., & Guedda, M. (2007). On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation. Electronic Journal of Differential Equations, 2007(78), pp. 1-15.
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