Similarity solutions of differential equations for boundary layer approximations in porous media |
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Authors: | M Guedda |
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Institution: | (1) Lamfa, CNRS UMR 6140, Faculté de Mathématiques et d’Informatique, Université de Picardie Jules Verne, 33, rue Saint-Leu, 80039 Amiens, France |
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Abstract: | This paper is concerned with the ordinary differential equation
on (0, + ∞), subject to the boundary conditions
in which a and b are reals, m > 0 and α < 0. Such problem, with
arises in the study of the free convection, along a vertical flat plate embedded in a porous medium.The analysis deals with existence, non–uniqueness and large–t behaviour of solutions of the above problem under favourable conditions on m, α, a and b.Received: March 20, 2002; revised: January 17 and July 14, 2003 |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 34B15 34B60 76D10 |
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