Nonuniqueness of solutions to differential equations for boundary-layer approximations in porous mediaNon unicité de solutions des équations différentielles pour un problème de couches limites en milieux poreux |
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Authors: | Mohammed Guedda |
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Institution: | LAMFA, CNRS UMR 6140, Université de Picardie Jules Verne, Faculté de mathématiques et d''informatique, 33, rue Saint-Leu 80039 Amiens, France |
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Abstract: | The free convection, along a vertical flat plate embedded in a porous medium, can be described in terms of solutions to for all t∈(0,+∞). The purpose of this Note is to study the nonuniqueness of solutions to this problem, with the initial conditions, and f′(0)∈{0,1}, where No assumption at infinity is imposed. We show that this problem has an infinite number of unbounded global solutions. Moreover, we prove that the first and the second derivative of solutions tend to 0 as t approaches infinity. To cite this article: M. Guedda, C. R. Mecanique 330 (2002) 279–283. |
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Keywords: | porous media boundary layer existence and nonuniqueness milieu poreux couche limite existence et non unicité |
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