On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation

 dc.contributor.author Benlahsen, Mohammed dc.contributor.author Gmira, Abdelilah dc.contributor.author Guedda, Mohammed dc.date.accessioned 2021-08-11T18:30:11Z dc.date.available 2021-08-11T18:30:11Z dc.date.issued 2007-05-23 dc.description.abstract 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. dc.description.department Mathematics dc.format Text dc.format.extent 15 pages dc.format.medium 1 file (.pdf) dc.identifier.citation Benlahsen, 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. dc.identifier.issn 1072-6691 dc.identifier.uri https://hdl.handle.net/10877/14274 dc.language.iso en dc.publisher Texas State University-San Marcos, Department of Mathematics dc.rights Attribution 4.0 International dc.rights.uri https://creativecommons.org/licenses/by/4.0/ dc.source Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. dc.subject Boundary-layer equation dc.subject MHD flow dc.subject Blowing-up solutions dc.subject Asymptotic behavior dc.title On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation dc.type Article

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