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‴ + 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.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 |