On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation

dc.contributor.authorBenlahsen, Mohammed
dc.contributor.authorGmira, Abdelilah
dc.contributor.authorGuedda, Mohammed
dc.date.accessioned2021-08-11T18:30:11Z
dc.date.available2021-08-11T18:30:11Z
dc.date.issued2007-05-23
dc.description.abstractThis paper concerns the singular solutions of the equation ƒ‴ + ꃃ″ - 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.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBenlahsen, M., Gmira, A., & Guedda, M. (2007). On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation. <i>Electronic Journal of Differential Equations, 2007</i>(78), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14274
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectBoundary-layer equation
dc.subjectMHD flow
dc.subjectBlowing-up solutions
dc.subjectAsymptotic behavior
dc.titleOn singular solutions of a magnetohydrodynamic nonlinear boundary layer equation
dc.typeArticle

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