G. Gagneux

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Résumé. Les modèles géologiques d’érosion et de sédimentation élaborés à l’Institut Français du Pétrole introduisent des systèmes d’équations de continuité sous des contraintes originales d’asservissement des ‡ux. La modélisation des phénomènes de la seule sédimentation conduit à des problèmes de type hyperbolique-parabolique dégénéré faisant apparaître des(More)
Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a “mixed finite(More)
In this communication we are concerned by the mathematical analysis of a compaction model in a sedimentary basin. In this 2-D modelling, the sedimentary rocks are considered as a porous medium, saturated with water. Thanks to the mass conservation law, the force balance, the Darcy's law, the Terzaghi's relation, the elastoplastic and the Kozeny-Carman laws,(More)
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