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Tamtam Proceedings - lamsin

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A theoretical study of free surface flowD. Hernane-BoukariFaculté de MathématiquesUniversité des Sciences et de la Technologie Houari Boumedienne16111 Bab Ezzouar AlgerAlgériedahbia.hernane@laposte.netABSTRACT. The two-dimensional stationary flow of a fluid over an obstacle lying on the bottom ofa stream is discussed. The influence of gravity is taken into account but we neglect the effects ofsurface tension. The nonlinear free surface profile problem obtained is solved by applying the implicitfunction theorem.RÉSUMÉ. En appliquant le théorème des fonctions implicites à l’équation de Bernoulli, nous montronsun résultat d’existence et d’unicité de la solution d’un problème d’écoulement fluvial au dessus d’unobstacle.KEYWORDS : Free surface problem, Implicit function theorem.MOTS-CLÉS : Surface libre, théorème des fonctions implicites.249 TAMTAM –Tunis– 2005

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