On singular solutions of a magnetohydrodynamic nonlinear boundary layer equation
Date
2007-05-23
Authors
Benlahsen, Mohammed
Gmira, Abdelilah
Guedda, Mohammed
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Boundary-layer equation, MHD flow, Blowing-up solutions, Asymptotic behavior
Citation
Benlahsen, 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.
Rights
Attribution 4.0 International